Question

plz help me guys........... ​

Answer 1

Step-by-step explanation:

Given : angle ZYQ = 64 degree

To prove: Angle XYQ

reflex of angle PYQ

Proof: Let angle PYQ= x

Let angle ZYQ =y

According to the question :

YQ bisect Angle ZYP

So ,x+y= Angle ZYP

ZYP+XYZ=180 ( linear pair)

x+y+64 = 180

x+x+64=180(x=y)

2x=180-64

2x=116

x=58

So,angle PYQ and angle ZYQ =58 degree

Reflex of angle QYP:- 360-58= 302 degree

XYQ:-

XYZ+ZYQ = XYQ

64+58=XYQ

122=XYQ

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