Answer:
[tex]m\angle WZY = 24^\circ[/tex]
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:
[tex]m\angle WZY = 6x = 24^\circ[/tex]
[tex]\mathbf{m\angle WZY = 24^\circ}[/tex]
