Question

6. In the following figure ray YW stands on a line XYZ.
WYZ: Z WYX = 1:2. Ray Yg and ray YP are angle bisectors
of Z WYZ and Z WYX respectively. Find angle PYQ.
​

Answer 1

Answer: 90°

Step-by-step explanation:

Since XYZ is a straight line,

angleWYZ and angle WYX are supplementary, i.e.

angleWYZ+ angleWYX= 180°

Divide both sides by 2,

1/2(angle WYZ)+1/2(angle WYZ)= 1/2*180°

angle WYQ+ angle WYP= 90°

(since YQ and YP are the bisectors of angles WYZ and WYX)

angle PYQ=90°

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