it is given that angle XYZ=64° and XY is produced to point P Draw a figure from the given information. If Ray YQ bisectes angle ZYP, find angle XYQ and reflex angle QYP
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Step-by-step explanation:
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♠
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