Question

In kite WXYZ, measure of angle XWY=38° and measure of angle ZYW=15°

what is the measure of angle WXY?

enter your answer in the box.

Answer 1

∠ WXY = 127°

Explanation:

We know that for a given kite shape has different vertex angles but the two non-vertex angles are the same.

Now, we are given a kite WXYZ and angle ∠ XWY = 38° and angle ∠ ZYW = 15°.

Therefore, the two vertex angles are (38 ×2) = 76° and (15 × 2) = 30° respectively.

Now, the sum of two non-vertex angles = 360° - 76° - 30° = 254°

And each of non-vertex angle is =
`(254)/(2)` = 127°

{Since the two non-vertex angles are the same.}

Now, ∠ WXY is a non-vertex angle of the kite.

Hence, ∠ WXY = 127° (Answer)