Question

Quadrilateral WXYZ is a rhombus. What is the measure of < XWZ?
A) 64
B) 26
C) 52
D) 32

Answer 1

Answer:

<XWZ=52°

Step-by-step explanation:

By alternate angle property, < XZY=<WXZ=64°

The base angles of an isosceles triangle are also equal therefore

<WXZ=<WZX=64°

The sum of angles in a triangle is 180°

< XWZ+<WXZ+<WZX=180°

<XWZ+64+64=180°

<XWZ=180°-64-64

This simplifies to

<XWZ=52°