1. In the diagram, lines $l$ and $m$ are parallel and are intersected by a transversal line $t$. If the measure of angle 1 is $70°$, what is the measure of angle 7?
2. Two lines intersect. One of the angles formed is $120^\circ$. Angle $x$ is adjacent to the $120^\circ$ angle, sharing a side with it, and the other sides form a straight line (a linear pair). What is the measure of angle $x$?
3. Lines $m$ and $n$ are parallel and cut by a transversal. An interior angle on the left side of the transversal at the top intersection is $70^\circ$. The alternate interior angle at the bottom intersection is labeled $x$.
```
m ⇒ ⇒ ⇒
70°\
\
\
n ⇒ ⇒ ⇒
/ x
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
4. In a pair of parallel lines cut by a transversal, angle $3$ is $85^\text{o}$. What is the measure of angle $6$, the alternate interior angle?
5. At point $O$, two lines intersect. The angle labeled $48^\circ$ and the angle labeled $x$ are vertical angles.
```
\ 48° /
\ /
-----O-----
/ x \
```
What is the measure of angle $x$?
6. Lines $p$ and $q$ are parallel, and line $r$ is a transversal. If angle $2$ is $110^\circ$, what is the measure of the corresponding angle $4$?
7. Lines $m$ and $n$ are parallel (⇒). A transversal $t$ intersects them. The angle labeled $x$ is an exterior angle at line $n$ on the right side of the transversal. The angle labeled $95^\circ$ is the corresponding exterior angle at line $m$ on the right side of the transversal.
```
m ⇒ ───────────────
/ 95°
/ t
/
/
/ x
n ⇒ ───────────────
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
8. Two lines intersect at point $O$. The angle labeled $x$ is adjacent to an angle labeled $80^\circ$ and together they form a straight line.
```
\ 80° /
\ /
-----O-----
/ x \
```
What is the measure of angle $x$?
9. If angle $C$ and angle $D$ are supplementary and angle $C$ measures $110^\circ$, what is the measure of angle $D$?
10. If angle $A$ and angle $B$ are vertical angles and angle $A$ is $50^\text{o}$, what is the measure of angle $B$?
11. Two angles form a linear pair on a straight line. One angle measures $125^\circ$, and the adjacent angle is labeled $x$.
```
-----------O-----------
125° | x
```
What is the measure of angle $x$?
12. Lines $m$ and $n$ are parallel and cut by a transversal. The two same-side (consecutive) interior angles are labeled $x$ and $105^\circ$.
```
m ⇒ ⇒ ⇒
\ x
\
\
n ⇒ ⇒ ⇒
105°/
```
If lines $m$ and $n$ are parallel, what is the value of $x$?
13. In the diagram, angle $m$ and angle $n$ are vertical angles. If angle $m$ measures $55^\circ$, what is the measure of angle $n$?
14. Lines $m$ and $n$ are parallel. If angle $3$ is $150^\circ$, what is the measure of the alternate exterior angle $4$?
15. Two lines intersect at point $O$. The angle labeled $x$ is vertical to an angle labeled $150^\circ$.
```
\ x /
\ /
------O------
/ \
/150\
```
What is the measure of angle $x$?
16. Two angles form a linear pair. If one angle measures $135^\text{o}$, what is the measure of the other angle?
17. Lines $m$ and $n$ are parallel, and a transversal $t$ crosses them. The angle in the upper intersection that is above line $m$ and to the right of $t$ is $50^\circ$. The corresponding angle at the lower intersection (above line $n$ and to the right of $t$) is labeled $x$.
```
m ⇒ ⇒ ⇒
/ 50°
/
/
n ⇒ ⇒ ⇒
/ x
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
18. Lines $j$ and $k$ are parallel, cut by transversal $l$. If angle $7$ is $95^\text{o}$, what is the measure of angle $3$, the corresponding angle?
19. In the diagram, lines $x$ and $y$ are parallel, and line $z$ is a transversal. If angle $4$ is $120^\text{o}$, what is the measure of angle $2$, the alternate interior angle?
20. If angle $A$ is supplementary to angle $B$ and angle $A$ measures $120^\text{o}$, what is the measure of angle $B$?
21. Two lines intersect and form four angles. If one angle is $30^\text{o}$, what is the measure of its adjacent angle?
22. If angle $F$ is a right angle, what is the measure of angle $F$?
23. Lines $a$ and $b$ are parallel, cut by transversal $c$. If angle $9$ is $125^\circ$, what is the measure of angle $7$, the alternate interior angle?
24. Lines $l$ and $m$ are parallel, cut by transversal $t$. An interior angle measures $(4x + 10)°$ and its alternate interior angle measures $(2x + 50)°$. What is $x$?
25. In the diagram, two lines intersect, forming angles $A$, $B$, $C$, and $D$. Angle $A$ measures $100^\circ$. What is the measure of angle $C$, which is a vertical angle to $A$?
26. Lines $p$ and $q$ are parallel and intersected by a transversal. If angle $11$ is $30^\circ$, what is the measure of the same-side interior angle $12$?
27. In the diagram, angle $A$ and angle $B$ are complementary. If angle $A$ is $55^\circ$, what is the measure of angle $B$?
28. Lines $p$ and $q$ are parallel, and line $r$ is a transversal. If angle $1$ is $120^\circ$, what is the measure of the alternate interior angle $2$?
29. In the diagram, angle $x$ and angle $y$ are vertical angles. If angle $x$ measures $45^\circ$, what is the measure of angle $y$?
30. Lines $x$ and $y$ are parallel. If angle $13$ is $145^\circ$, what is the measure of the corresponding angle $14$?
31. In the diagram, angle $x$ and angle $y$ are complementary. If angle $x$ measures $55^\text{o}$, what is the measure of angle $y$?
32. In the diagram, angle $a$ and angle $b$ are vertical angles. If angle $a$ measures $75^\circ$, what is the measure of angle $b$?
33. If lines $a$ and $b$ are parallel and angle $3$ is $85^\circ$, what is the measure of angle $4$, which is a corresponding angle?
34. In the diagram, angle $x$ and angle $y$ are supplementary. If angle $x$ is $130^\circ$, what is the measure of angle $y$?
35. When two lines intersect, angle $A$ and angle $B$ are vertical angles. If angle $A$ is $75^\text{o}$, what is the measure of angle $B$?
36. Two lines intersect at point $O$. One of the angles is labeled $120^\circ$. The angle adjacent to it on the same straight line is labeled $x$.
```
\ 120° /
\ /
-----O-----
/ x \
/ \
```
What is the measure of angle $x$?
37. Ray $OB$ is perpendicular to ray $OA$ (right angle marked with a square). Ray $OC$ lies between them, forming $\angle AOC = 25^\circ$ and $\angle COB = x$.
```
B
|\
| \ x
| \
O---A
25°
```
What is the value of $x$?
38. Lines $m$ and $n$ are parallel (⇒). A transversal $t$ intersects them. At line $m$, the exterior angle on the left side of the transversal is $100^\circ$.
```
m ⇒ ───────────────
100° \
\
\ t
\
\ x
n ⇒ ───────────────
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
39. At point $O$, rays $OA$ and $OB$ form a straight line. Ray $OC$ creates two adjacent angles: $\angle AOC = x$ and $\angle COB = 140^\circ$.
```
A ----O---- B
/
/ 140°
C
```
What is the measure of angle $x$?
40. Lines $m$ and $n$ are parallel (⇒) and a transversal $t$ intersects them. At line $m$, an interior angle is labeled $115^\circ$.
m ⇒ ───────────────
$115^\circ$\
\
\ t
\
n ⇒ ───────────────
$x$
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
41. Lines $m$ and $n$ are parallel (⇒). A transversal intersects them, creating an angle of $65^\circ$ at line $m$. The angle labeled $x$ is the same-side interior angle with the $65^\circ$ angle.
```
m ⇒ ───────────────
65° /
/
/ t
/
/ x
n ⇒ ───────────────
```
What is the measure of angle $x$?
42. Lines $a$ and $b$ are parallel, and line $c$ is a transversal. If angle $1$ is $130^\text{o}$, what is the measure of angle $5$, the co-interior angle?
43. Ray $OB$ is perpendicular to ray $OA$ (right angle marked). Ray $OC$ forms $\angle BOC = 58^\circ$ inside the right angle, and the remaining angle $\angle COA$ is labeled $x$.
```
B
|\ 58°
| \
| \
O---A
x
```
What is the measure of angle $x$?
44. At point $O$, ray $OA$ forms a straight line with ray $OC$. Ray $OB$ creates two adjacent angles: $\angle AOB = 35^\circ$ and $\angle BOC = x$.
```
A ----O---- C
\
\ 35°
\
B
```
What is the value of $x$?
45. Two lines intersect at point $O$, forming vertical angles. One of the angles is labeled $x$, and the vertical angle opposite it is labeled $65^\circ$.
```
\ x /
\ /
--------O--------
/ \
/65\
```
What is the measure of angle $x$?
46. Lines $m$ and $n$ are parallel (⇒). A transversal $t$ intersects them. At the intersection with line $m$, an exterior angle is labeled $50^\circ$. The angle labeled $x$ is the interior angle adjacent to that $50^\circ$ angle at the same intersection.
```
m ⇒ ───────────────
50°\
\
\ t
\
n ⇒ ───────────────
```
What is the measure of angle $x$?
47. Lines $m$ and $n$ are parallel ($\Rightarrow$). A transversal $t$ intersects them. At line $n$, an interior angle is labeled $125^\circ$. The angle labeled $x$ is the same-side interior angle at line $m$.
```
m \Rightarrow ───────────────
x /
/
/ t
/
n \Rightarrow ───────────────
$125^\circ$
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
48. Two lines intersect at point $O$, forming vertical angles. One of the angles is labeled $x$, and the vertical angle opposite it is labeled $65^\circ$.
What is the measure of angle $x$?
49. Angle $A$ measures $68^\circ$. Angle $B$ is supplementary to angle $A$.
What is the measure of angle $B$?
50. At an intersection, a right angle is marked with a small square showing $90^\circ$. The angle adjacent to this right angle on the same straight line is labeled $x$. What is the measure of angle $x$?
51. Lines $m$ and $n$ are parallel and cut by a transversal. The angle labeled $x$ is an interior angle at the top intersection on the right of the transversal. The angle labeled $60^\circ$ is the interior angle at the bottom intersection on the right of the transversal.
```
m ⇒ ⇒ ⇒
/ x
/
/
n ⇒ ⇒ ⇒
/ 60°
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
52. At point $O$, two lines intersect. Angle $x$ is adjacent to an angle measuring $140^\circ$ (they form a linear pair).
```
\ 140°
-------O-------
/ x
```
What is the measure of angle $x$?
53. At point $O$, a right angle is marked with a square, and a ray splits this right angle into two adjacent angles labeled $x$ and $35^\circ$.
```
|
|\ $35^\circ$
| \
|__\
x (square shows $90^\circ$)
```
What is the measure of angle $x$?
54. Lines $m$ and $n$ are parallel (marked with arrows), and transversal $t$ intersects them. Angle $A$ is an interior angle below line $m$ and to the right of the transversal. Angle $B$ is an interior angle above line $n$ and to the right of the transversal. Which describes the relationship between angles $A$ and $B$?
55. Two lines intersect, forming vertical angles. One of the angles at the intersection is labeled $x$, and the vertical angle opposite it is labeled $65^\circ$. What is the value of $x$?
56. In the standard (x,y) coordinate plane, a circle with center (3, 4) is tangent to the x-axis. What is the radius of the circle?
57. In quadrilateral ABCD, the measures of angles A, B, and C are (2x)°, (3x)°, and (2x + 10)° respectively. The measure of angle D is 70°. What is the measure of angle C?
58. If angle $P$ and angle $Q$ are supplementary angles and angle $P$ measures $145^\text{o}$, what is the measure of angle $Q$?
59. Lines $r$ and $s$ are parallel, cut by transversal $t$. If angle $1$ is $75^\text{o}$, what is the measure of angle $4$, the alternate exterior angle?
60. Lines $l$ and $m$ are parallel, and $n$ is a transversal. If angle $5$ is $70^\text{o}$, what is the measure of angle $8$, the alternate exterior angle?
61. If angle $A$ is $10^\text{o}$ less than angle $B$, and they are complementary, what is the measure of angle $A$?
62. Lines $m$ and $n$ are parallel and cut by a transversal. An exterior angle measures $125^\circ$. What is the measure of the adjacent interior angle $x$ that forms a linear pair with the $125^\circ$ angle?
63. Lines $m$ and $n$ are parallel and cut by a transversal. Same-side interior angles are labeled $x$ and $110^\circ$. What is the value of $x$?
64. Angles $A$ and $B$ are complementary. If $m\angle A = 28^\circ$, what is $m\angle B$?
65. Two lines intersect at point $O$. One of the angles formed is $65^\circ$. What is the measure of angle $x$ if $x$ is the vertical angle to the $65^\circ$ angle?
66. Lines $m$ and $n$ are parallel and cut by a transversal. If a corresponding angle measures $120^\circ$, what is the measure of angle $x$ that is corresponding to it?
67. Lines $m$ and $n$ are parallel and cut by a transversal. An alternate interior angle is $50^\circ$. What is the measure of angle $x$ if $x$ is the alternate interior angle to the $50^\circ$ angle?
68. Two intersecting lines form angles labeled $x$ and $x+40$ that are adjacent and form a straight line. What is the measure of angle $x$?
69. Lines $x$ and $y$ are parallel, and line $z$ is a transversal. If the measure of angle $7$ is $65^\circ$, what is the measure of the corresponding angle $8$?
70. In the diagram, angle $x$ and angle $y$ are supplementary. If angle $x$ is $150^\circ$, what is the measure of angle $y$?
71. Lines $a$ and $b$ are parallel. If angle $9$ measures $105^\circ$, what is the measure of the alternate interior angle $10$?
72. Two lines intersect at point $O$. One angle is labeled $x$, and the angle adjacent to it is labeled $135^\circ$.
```
\ x /
\ /
-----O-----
/135\
```
What is the value of $x$?
73. Lines $m$ and $n$ are parallel ($\Rightarrow$). A transversal $t$ intersects them. The angle labeled $x$ is a corresponding angle to the angle labeled $40^\circ$.
```
m ⇒ ───────────────
/ $40^\circ$
/
/ t
/
/ $x$
n ⇒ ───────────────
```
If lines $m$ and $n$ are parallel, what is the measure of angle $x$?
74. In triangle XYZ, the measure of angle X is 40° and the measure of angle Y is 85°. What is the measure of angle Z?
75. Lines $x$ and $y$ are parallel with transversal $z$. If angle $2$ is $65^\text{o}$, what is the measure of angle $6$, the corresponding angle?
76. Two angles form a linear pair on a straight line. One angle measures $35^\circ$. What is the measure of the supplementary angle $x$?