Download A n sw e rs 3–5 3–5

© Glencoe/McGraw-Hill
NAME
3–5
DATE
PERIOD
3–5
Study Guide
Complementary and Supplementary Angles
NAME
DATE
PERIOD
Skills Practice
Complementary and Supplementary Angles
Refer to the figures at the right.
The table identifies several different types of angles that occur in pairs.
1. Name a pair of complementary angles.
Special Name
complementary
angles
B
/BOD, /DOF
Pairs of Angles
2. Name two right angles.
Definition
Examples
two angles whose measures have
a sum of 90
30
60
/BOJ, /BOF
D
57°
O
3. Name three pairs of adjacent supplementary
angles. /JOB, /BOF; /JOD, /DOF;
two angles whose measures have
a sum of 180
/JOH, /HOF
160
H
Exercises 1-6
5. Find the measure of an angle that is
supplementary to /DOF. 147
6. Find the measure of /BOH.
175
7. Name a pair of complementary angles.
75
x
2. 160
x
20
b
15
(6x 1 7) °
(3x 1 38)°
10. Find the measure of an angle that is
supplementary to /WMT. 60
Geometry: Concepts and Applications
5. 17
6.
19
°
R
S
Exercises 7-13
12. Is /YMT a right angle? Justify your answer.
9
W
T
11. Find the measure of /XMY. 28
4.
M
120°
32°
35°
60°
55°
30°
Z
9. Find the measure of an angle that is
complementary to /YMZ. 58
3. 115
a
Y
No, its measure is 32  60, or 92.
13. Find the measure of an angle that is
supplementary to /XMR. 25
14. Find m/3 if /3 and /4 form a linear pair and m/4 5 55.
125
15. If /1 and /2 form a linear pair and m/1 5 130, find m/2. 50
16. Angles DEF and XYZ form a linear pair. If m/DEF 5 170, what is m/XYZ? 10
7. If m/P 5 28, /R and /P are
supplementary, /T and /P are
complementary, and /Z and /T
are complementary, find m/R,
m/T, and m/Z. 152, 62, 28
© Glencoe/McGraw-Hill
8. If /S and /G are supplementary,
m/S 5 6x 1 10, and m/G 5
15x 1 23, find x and the measure
of each angle.
17. If /4 and /8 are complementary and m/4 5 45, find m/8. 45
18. If m/3 5 10 and /3 and /7 are complementary, what is m/7?
80
x 5 7, m/S 5 52, m/G 5 128
105
Geometry: Concepts and Applications
© Glencoe/McGraw-Hill
106
Geometry: Concepts and Applications
(Lesson 3-5)
A12
Each pair of angles is either complementary or
supplementary. Find the value of x in each figure.
1.
X
/WMR, /RMS or /SMT, /TMZ
8. Name two right angles. /WMS, /ZMS
Answers
20
F
85° 95°
J
4. Find the measure of an angle that is
complementary to /JOH. 5
supplementary
angles
33°