Respuesta :

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = [tex]\frac{105}{2}[/tex] = 52.5°

Answer:

52.5°

Step-by-step explanation:

Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

To Find : The measure of ∠WXZ is ?

Solution:

∠WXY = 105°

The ray XZ is the angle bisector of ∠WXY

This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

So, ∠WXY = ∠WXZ + ∠ZXY

∠WXY = 2∠WXZ

[tex]105 = 2 \angle WXZ[/tex]

[tex]52.5 =\angle WXZ[/tex]

Hence The measure of ∠WXZ is 52.5°

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