## Geometry: Common Core (15th Edition)

Published by Prentice Hall

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

#### Answer

$m \angle D = 127^{\circ}$

#### Work Step by Step

The diagram is that of a parallelogram. Opposite angles of a parallelogram are congruent. We see that $\angle D$ and $\angle B$ are opposite angles. Let's set $m \angle D$ and $m \angle B$ equal to one another: $m \angle D = m \angle B$ Let's plug in what we know: $m \angle D = 127^{\circ}$

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