Question

It is given that angle XYZ=64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects angle ZYP, find angle XYQ and reflex angle QYP​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

let the angle ZYQ =x;

angle PYQ=x

PYX is a straight line

angle PQY + angle QYZ+ angle XYZ=100°

→x+x+64°=180°

→2x+64°=180°

→ 2x= 180 -64°

→x=116°/2

→x=58°

♦ anglePYQ=58°

♦ angle QYZ=58°

→angleXYQ=angle XYZ+angleZYQ

→ angleXYQ =64°+58°

→angleXYQ=122°

Reflex angleQYP=360°- 58°

=302°

Therefore, answer = 58°,122°,

302°.

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♠ANSWER BY YASHAWINI♠