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  • 02-02-2020
  • Mathematics
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Quadrilateral WXYZ is a rhombus. What is the measure of < XWZ?
A) 64
B) 26
C) 52
D) 32

Quadrilateral WXYZ is a rhombus What is the measure of lt XWZ A 64 B 26 C 52 D 32 class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 08-02-2020

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°

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