Question

Find the measure of angle W for the kite showing below.

Answer 1

hint : non vertex angles are equal in a kite

Answer 2

W = Y

Answer 3

does that give some clue how to find the angle W ?

Answer 4

Given: kite WXYZ, with line of symmetry XZ: angle X = 87°, angle Z = 38°
Asked: angle W
Angle W = angle Y (symmetric).
The sum of the 4 angles in a quadrilaterals (such as a kite) equals 360°, so we have:
87 + 38 + 2W = 360

angle W = 117.5°