Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 223: 15b


$m\angle K=79^{\circ}$

Work Step by Step

Since the two quadrilaterals are similar, the corresponding angles are congruent. So... $m\angle H=m\angle A=55^{\circ}$ $m\angle J=128^{\circ}$ $m\angle D=m\angle L=98^{\circ}$ The four interior angles of a quadrilateral sum to $360^{\circ}$. $360-55-128-98=79$ $m\angle K=79^{\circ}$
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