Name ___________________________________
UNIT 10 REVIEW: Angle Relationships
Date __________
NOTE: NONE of the figures are drawn to scale!!!!
1) In the diagram below, line l and line m are parallel.
What is the measure of
∠
x?
2) In the diagram below, which pair of angles is complementary? a) 18° c) 108° b) 72° d) 162°
3) The measure of
∠
1 in the diagram below is 113°.
What is the measure of
∠
4? a) c)


1 and
2 and


2
4 b)  2 and  3 d)  3 and  4
4) Which two angles in the triangles below are complementary? a) 67° c) 113° b) 77° d) 203° a)
∠
BAC and
∠
CAD b)
∠
CDA and
∠
CAD c)
∠
ABC and
∠
BAC d) ∠ BCA and ∠ ACD

5) In the diagram below, which angles are congruent?
6) In the diagram below, point K.

JL intersects

KM
at a)  3 and  1 c)  3 and  4 b)  3 and  2 d)  3 and  5
What is the measure of angle JKM? a) 30° b) 60° c) 120° d) 180°
7) In the given figure, lines a and b are parallel. For each pair of angles, write the name of the angle relationship and identify whether the angles are congruent or supplementary. a)  n and  z b)  x and  v c)
 r and  t
d)  v and  z e)  r and  x f)  s and  t a n r s p
8) In the diagram,
∠
DEF and
∠
FEG are complementary. b x t v z
What is the measure of
∠
FEG? Show your work.
Answer ________ degrees
9) In the diagram,
∠
PRQ measures 73°.
What is the measure of
∠
QRT? Show your work.
Answer ________ degrees

10) In the accompanying diagram the measure of
∠
6 is 64°. a) Find the m
∠
1. b) Explain how you determined your answer.
11) In the accompanying diagram AB and CD are parallel and XY is a transversal. The m
∠
BPY = 3(x + 8) and the m
∠
DTX = 2(x + 3).
A
Find the measure of the acute angle.
C
12) In the accompanying diagram AB and CD are parallel and XY is a transversal. The m
∠
APX = 4(x - 12) and the m
∠
YTD = 3x - 5 A
Find the measure of m
∠
XPB.
C
Y
Y
13) Two lines intersect at point B, as shown below.
A What is the value of x ?
Show your work.
B What is the measure, in degrees, of
∠
ABC?
14) Olive Street crosses two parallel railroad tracks, as shown below.
What is the measure of
∠
1?
Explain how you determined your answer.
T
T
P
P
X
X
D
D
B
B

15) In the diagram below, line l and line m are parallel, and line k is a transversal.
What is the measure of
∠
U?
Answer __________ degrees
Explain how you determined your answer.
16) Bryce drew the four angles shown at the right.
Part A
Which pair of angles are complementary? _______________________
Which pair of angles are supplementary? _______________________
Part B
On the lines below, explain how you determined your answers.
17)  A and  B are complementary. The m  A = 2x and m  B = 4x - 60 degrees.
Find the measures of  A and  B.
18) Angle A and angle B are complementary. In addition, angle A is supplementary to angle C.
If angle B measures 37  , what are the measures of angle A and angle C? angle A: ______ angle C: ______