Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-1 Ratios and Proportions - Practice and Problem-Solving Exercises - Page 437: 45

Answer

The four angles are 72,90,72,126 See the attached file for the drawing.

Work Step by Step

Angles of a quadrilateral total 360 degrees. So using the expanded ratio given, we can write the problem as: 4x + 5x + 4x + 7x = 360 20x=360 x=18 Substitute 18 back into each variable of the equation to get the angles: 4(18)=72 5(18)=90 4(18)=72 7(18)=126 See the attached file for the drawing.
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