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