Question

In kite WXYZ, the measure of x=z=86° and y=72°


What is the measure of w?

Answer 1

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

Answer 2

The measure of angle W is 116°.

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°.