Question

Angle PQR=100°,whare P,Q and R are points on a circle O.Find angle OPR​

Answer 1

Hello, Here is the complete solution,

Solution: Reflex POR= 2 PQR (Angle subtended by an arc at the center is double the angle subtended by it at the remaining part of the circle)

Reflex POR =2*100=200

POR=360-200=160

OP=OR (Radii of the same circle) (Eq 1)

OPR=ORP (Angles opposite to equal sides are equal)

In triangle OPR,

OPR+ORP+POR=180 (By angle sum property)

160+2*OPR=180 (By eq 1)

2*OPR= 180-160

2*OPR= 20

OPR= 10= answer.

Hope that helps you..

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