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Skills Practice Workbook - Glencoe

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3–6<br />

NAME DATE PERIOD<br />

<strong>Skills</strong> <strong>Practice</strong><br />

Congruent Angles<br />

Find the value of x in each figure.<br />

1. 2. 3.<br />

x°<br />

152°<br />

152 58 114<br />

4. 5. 6.<br />

(3x)° 78°<br />

26 25 25<br />

7. What is the measure of<br />

an angle complementary to �XYZ<br />

if �MOR � �XYZ? 42<br />

48°<br />

M<br />

O R<br />

Use the figure at the right.<br />

9. If �1 � �3 and m�1 � 64, find the measure of<br />

an angle that is supplementary to �3. 116<br />

10. If �AOB is supplementary to �BOC, �BOC<br />

is supplementary to �COD, and m�AOB � 58,<br />

find m�BOC and m�COD. 122; 58<br />

Z<br />

11. Find the measure of an angle that is complementary<br />

to �1 if �1 � �2 and m�2 � 75. 15<br />

Y<br />

90°<br />

12. Find the measure of an angle that is supplementary to �4 if �4 � �9 and m�9 � 24.<br />

156<br />

© <strong>Glencoe</strong>/McGraw-Hill 17 Geometry: Concepts and Applications<br />

58°<br />

x°<br />

(4x � 10)°<br />

X A<br />

(x � 8)°<br />

(6x � 15)°<br />

122°<br />

45°<br />

8. OA �� and OB �� are opposite rays<br />

and OC �� and OD �� are also<br />

opposite rays. If m�2 � 90 and<br />

m�1 and � 45, what is m�4?<br />

45<br />

C<br />

A<br />

O 4<br />

1<br />

2<br />

3<br />

D<br />

B<br />

1<br />

2<br />

4<br />

O<br />

3<br />

B<br />

D<br />

C

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