Question

in kite wxyz,
m∠xwy = 38° and
m∠zyw = 15°.

what is m∠wxy ?
enter your answer in the box.

m∠wxy = \boxed{}°

Explanation:

Step1: Find $\angle XWY$ total

$\angle XWY = 38^\circ + 15^\circ = 53^\circ$

Step2: Use kite property: $WX=XY$

$\triangle WXY$ is isosceles, so $\angle XWY = \angle XYW = 53^\circ$

Step3: Calculate $\angle WXY$

Sum of angles in triangle is $180^\circ$.
$\angle WXY = 180^\circ - 53^\circ - 53^\circ$

Answer:

$74$