Question

In a figure, two straight lines PQ and RS
intersects at O.If POS=114°,find the POR,ROQ,QOS.

Answer 1

Answer

Angle POS =114 so

Angle ROQ= 114 (vertically opposite angle).

And PQ is a straight line so

Angle POS + Angle QOS = 180

114+QOS =180

QOS =180-114

= 66

And

Angle QOR=66( vertically opposite angle)

Answer 2

If two lines intersect each other then vertically opposite angles are equal.
Angle POS=ROQ=114° & POR=QOS=66°