Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Lesson Check - Page 363: 1


$m \angle A = 53^{\circ}$

Work Step by Step

The diagram is that of a parallelogram. Consecutive angles of a parallelogram are supplementary, meaning their sum equals $180^{\circ}$. We see that $\angle A$ and $\angle B$ are supplementary. Let's set up an equation to find $m \angle A$ using this information: $m \angle A = 180 - m \angle B$ Let's plug in what we know: $m \angle A = 180 - 127$ Subtract to solve: $m \angle A = 53^{\circ}$
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