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.

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Answer 1

Step-by-step explanation:

XYP is a straight line,

Angle XYZ + Angle ZYP = 180°

Angle ZYP = 180° - Angle XYZ

Angle ZYP = 180° - 64°

Angle ZYP= 116°

Since YQ bisects Angle ZYP

Angle ZYQ = Angle QYP = 1/2 Angle ZYP

=1/2 ×116°

= 58°