Question

PLEASE HELP ME/ The quadrilateral shown is a rhombus. What is m∠2?
A) 28°
B) 32°
C) 58°
D) 90°

Answer 1

In a rhombus, both pairs of opposite angles are congruent.

First find m∠7,

m∠7 = 180° − 90° − 32° = 58°

m∠2 ≅ m∠7

So, m∠2 = 58°

Answer 2

The measure of the angle <2 is 58 degrees

Angles in a rhombus

The sum of adjacent sides of the rhombus is 180 degrees

From the given figure, m<3 = 32

m<2 + 32 + 2(m<7) = 180

32 + 32 + 2<7 = 180

2m>7 = 180 - 64
m<7 = 58 degrees

ALs, m<2 - m<7 = 58degrees (corresposnding angles)

Hence the measure of the angle <2 is 58 degrees

Learn more on angles of a rhombus here: https://brainly.com/question/20627264