Question

Find WZY. (helpp fast)

Answer 1

Answer:

$m\angle WZY = 24^\circ$

Step-by-step explanation:

Angles and Lines

The figure shows two triangles WXZ and WYZ. Considering:

* Angles WXZ and WYZ are right (90°)

* Sides XW and YW are congruent (red marker on both)

* They share the side WZ.

We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:

5x + 4 = 6x

Subtracting 5x:

4 = x

Or, x =4

Thus:

$m\angle WZY = 6x = 24^\circ$

$\mathbf{m\angle WZY = 24^\circ}$