## The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Question

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## Answers ( No )

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

Hence The measure of ∠WXZ is 52.5°∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = = 52.5°