Question

Angle pqr,pq=pr is the angle bisector of angle p then show that ps perpendicular or

Answer 1

Answer:

Step-by-step explanation:

Construction:from r draw a line parallel to PS which meets QP produced at T

PS||TR and PR is transversal

Angle SPR=Angle PRT

PS||TR and PT is transversal

Angle QPS=Angle QTR

Also

Angle QPS=Angle SPR

So triangle PTR os isosceles triangle

PT=PR

Now in triangle QTR

SP||RT

So by bpt

QS/SR=QP/PT

Hence

QS/SR=QP/PR

Hence proved