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 angleXYQ and reflex angle QYP.
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Answer:
XYP is a straight line,
<XYZ + <ZYP = 180°
<ZYP = 180° - <XYZ
<ZYP =180° - 64°
<ZYP = 116
Since YQ bisects <ZYP
<ZYQ = <QYP = 1/2<ZYP
= 1/2 * 116°
= 58°
<XYQ = <XYZ + <ZYQ
= 64° + 58°
=122°
We have to find reflex <QYP
Reflex <QYP = 360° - <QYP
Reflex <QYP = 360° - 58°
= 302°
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