Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 5 - Section 5.1 - Ratios, Rates, and Proportions - Exercises: 26

Answer

Angle 1 = 40 Degrees Angle 2 = 140 Degrees

Work Step by Step

Supplementary Angle = 180 Ratio - 2:7 Add up the total number of parts in ratio (2 + 7 = 9) Divide the Angle total by the total number of parts in ratio to get the quantity of one part. 180/9 = 20 Degrees Multiply by the number of parts in each portion of the ratio to get the total of each part of the ratio. 20 x 2 = 40 20 x 7 = 140 Add together all parts of the ratio to check to see if it add ups to the total angle in the problem. 40 + 140 = 180.
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