Question

In kite wxyz, if m∠xwy = 38° and m∠zyw = 15°, what is the measure of ∠wxy?

Answer 1

The measure of ∠WXY in kite WXYZ can be found by subtracting the measure of ∠XWY from 180°, which gives us an angle of 142° for ∠WXY.

Step-by-step explanation:

In kite WXYZ, if m∠XWY = 38° and m∠ZYW = 15°, to find the measure of ∠WXY we must recognize a property of kites: adjacent angles between the unequal sides are supplementary, which means they add up to 180°. Therefore, we can find the measure of ∠WXY by subtracting the measure of ∠XWY from 180°.

Let's calculate it step-by-step:

1. Subtract the given angle, m∠XWY, from 180° to find m∠WXY:
2. 180° - 38° = 142°.

Thus, the measure of ∠WXY in kite WXYZ is 142°.