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HELP Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX.
m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX?
5°
15°
75°
150°
ITS D)150 

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the answer is D :) i hope you have a good day

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Answer:

Option D. 150°

Step-by-step explanation:

In an isosceles triangle WXY, ∠YWX and ∠YXW are the base angles.

YZ is the bisector of ∠WYX.

m∠XYZ = 15x° and m∠YXZ = (2x + 5)°

We have to find the measure of ∠WYX.

Since ΔWXY is an isosceles triangle therefore YZ which is a bisector of ∠WYX will be perpendicular to XW.

Therefore ∠YXW + ∠XYZ + ∠YZX = 180°

15x + 2x + 5 + 90 = 180

17x + 95 = 180

17x = 180 - 95 = 85

x = 85/17 = 5

Therefore ∠WYX = 2×∠XYZ = 2×(15x) = 30×5 = 150°

Answer is ∠WYX = 150°
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