Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix F - Exercise Set: 14

Answer

1= 60 degrees 2= 50 degrees 3= 70 degrees 4= 110 degrees 5= 120 degrees

Work Step by Step

1 and 60 degrees are alternate interior angles. Therefore, 1= 60 degrees. 1, 2 and 70 degrees lie on the same line which means that their sum is 180 degrees. Since we know the value of 1, 2 equals 50 degrees. 3 and 70 degrees are alternative interior angles. Therefore, 3 = 70 degrees. 3 and 4 lie on the same line which means that their sum is 180 degrees. Since we know the value of 3, 4 is automatically calculated as 110 degrees. 5 and 60 degrees lie on the same line which means that their sum is 180 degrees. The value of 5 is therefore calculated as 120 degrees.
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