Geometry: Common Core (15th Edition)

Published by Prentice Hall

Chapter 1 - Tools of Geometry - Chapter Review - Page 72: 18

Answer

$m\angle PQR=36°$

Work Step by Step

The sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by the two. In this case, $$m\angle PQR+m\angle MQP=m\angle MQR$$From here, we simply plug in the given angles and solve: $$m\angle PQR+25°=61°$$$$m\angle PQR=61°-25°$$$$m\angle PQR=36°$$

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