Skills Practice Workbook - Glencoe

4–3
NAME DATE PERIOD
Skills Practice
Transversals and Corresponding Angles
In the figure, m � p. Name all angles
congruent to the given angle. Give a
reason for each answer.
1. �1 �6, vertical;
�9, corresponding;
�14, alternate exterior
3. �13 �10, vertical;
�5, corresponding;
�2, alternate exterior
5. �9 �14, vertical;
�6, alternate interior;
�1, corresponding
Find the measure of each numbered angle.
7. 8.
1 2
3 4
40°
6
5 7
m�1 � 40, m�2 � 140, m�3 � m�1 � 35, m�2 � 80, m�3 �
140, m�4 � 40, m�5 � 140, 80, m�4 � 100, m�5 � 65,
m�6 � 140, m�7 � 40 m�6 � 65, m�7 � 65, m�8 �
115, m�9 � 65, m�10 � 115,
m�11 � 100, m�12 � 80
9. 10.
70° 6 5 4
7 8 70° 3
50°
9
1 10 11 12
15 2 14 13
2. �7 �4, vertical;
�12, alternate interior;
�15, corresponding
4. �8 �3, vertical;
�11, alternate interior;
�16, corresponding
6. �16 �11, vertical;
�8, corresponding;
�3, alternate exterior
14 13
8 9
78° 5 6 7
1 2 3 4
m�1 � 70, m�2 � 70, m�3 � m�1 � 102, m�2 � 78, m�3 �
60, m�4 � 70, m�5 � 110, 102, m�4 � 78, m�5 � 102,
m�6 � 110, m�7 � 110, m�8 m�6 � 78, m�7 � 102, m�8 �
� 70, m�9 � 40, m�10 � 70, 102, m�9 � 78, m�10 � 102,
m�11 � 60, m�12 � 120, m�13 � m�11 � 78, m�12 � 102,
60, m�14 � 120, m�15 � 70 m�13 � 102, m�14 � 78
© Glencoe/McGraw-Hill 21 Geometry: Concepts and Applications
35°
5 80°
2 6
1
4 3 7 8
12 11 10 9
12
10 11
1 2
5 6
9 10
13 14
3 4
7 8
11 12
15 16
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p