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,
[tex]\angle W+\angle X+\angle Y+\angle Z=360[/tex]
[tex]\angle W+86+72+86=360[/tex]
[tex]\angle W+244=360[/tex]
Subtract 244 from both sides.
[tex]\angle W+244-244=360-244[/tex]
[tex]\angle W=116[/tex]
Therefore, the measure of angle W is 116°.
