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

User Renatojf
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2 Answers

6 votes

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ =
(105)/(2) = 52.5°


User Eric Wu
by
7.7k points
5 votes

Answer:

52.5°

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


105 = 2 \angle WXZ


52.5 =\angle WXZ

Hence The measure of ∠WXZ is 52.5°

User Umar Arshad
by
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