In kite WXYZ, the measure of x=z=86° and y=72°What is the measure of w?

Mathematics

2 answers:

Anna [14]4 years ago

8 0

W=166 degrees

okay so the total measure of the angles should be 360 so you gotta do 86+86+72+w=360
86+86+72=244
360-244=116

Sophie [7]4 years ago

8 0

Answer:

The measure of angle W is 116°.

Step-by-step explanation:

Given information: WXYZ is a kite, X=Z=86° and Y=72°.

According to the angle sum property of a kite, the sum of all interior angles of a kite is 360°.

In kite WXYZ,

$\angle W+\angle X+\angle Y+\angle Z=360$

$\angle W+86+72+86=360$

$\angle W+244=360$

Subtract 244 from both sides.

$\angle W+244-244=360-244$

$\angle W=116$

Therefore, the measure of angle W is 116°.

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