It is given that ∠XYZ=64o and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find reflex ∠QYP in degrees.
It is given that say YQ bisects ∠ZYP
So let, ∠PYQ=∠QYZ=x
∠PYZ=2x
Since QY stands on say PX
∠PYZ+∠ZYX=180o
⇒2x+64o=180o
[∵∠ZYX=∠XYZ=64o]
⇒x=(180−64)/2
x=580
∴∠XYQ=∠XYZ+∠ZYQ=64o+58o=122o
and reflex
∠QYP=360o−∠QYP=360o−x
∠QYP=360o−58o=302o