Download A n sw e rs 3–6 3–6

© Glencoe/McGraw-Hill
NAME
3–6
DATE
PERIOD
Skills Practice
3–6
NAME
DATE
Congruent Angles
Congruent Angles
Find the value of x in each figure.
Find the value of x in each figure.
1.
2.
1.
3.
x°
152°
PERIOD
Practice
2.
3.
58°
122°
(x 1 8)°
x°
152
58
4.
5.
4.
6.
52
(4x 2 10)°
25
43
25
Y
45
X
25
7. What is the measure of an angle that is
supplementary to /HIJ if /HIJ > /KLM? 126
(Lesson 3-6)
A15
8. OA! and OB! are opposite rays
and OC! and OD! are also
opposite rays. If m/2 5 90 and
m/1 and 5 45, what is m/4?
7. What is the measure of
an angle complementary to /XYZ
if /MOR > /XYZ? 42
47
6.
A
M
2 3
1
Z
O 4
C
D
48°
O
B
R
8. If /2 is complementary to /3, /1 is
complementary to /2, and m/1 5 35,
what are m/2 and m/3? 55, 35
Use the figure at the right.
Geometry: Concepts and Applications
9. If /1 > /3 and m/1 5 64, find the measure of
an angle that is supplementary to /3. 116
B
A
1
10. If /AOB is supplementary to /BOC, /BOC
is supplementary to /COD, and m/AOB 5 58,
find m/BOC and m/COD. 122; 58
4
2
O3
C
9. What is the value of x if /PQR and /SQT
are vertical angles and m/PQR 5 47 and
m/SQT 5 3x 1 2? 15
D
11. Find the measure of an angle that is complementary
to /1 if /1 > /2 and m/2 5 75. 15
12. Find the measure of an angle that is supplementary to /4 if /4 > /9 and m/9 5 24.
10. Find the measure of an angle that is supplementary
to /B if the measure of /B is 58. 122
156
© Glencoe/McGraw-Hill
111
Geometry: Concepts and Applications
© Glencoe/McGraw-Hill
Answers
90°
26
110
5.
45°
(6x 2 15)°
78°
(3x)°
55
114
112
Geometry: Concepts and Applications