1.

In the given figure, O is the centre of the circle. PQ is a chord of the circle and R is anypoint on the circle. If ∠∠∠∠PRQ = l and ∠∠∠∠OPQ = m, then find l + m.​

Answer»

Answer:

90 degree

Step-by-step EXPLANATION:

Given:-

PRQ is l

OPQ is m

To find:- l+m

Proof:-

Angle PRQ is half of the angle POQ( established theorem ;former lies on the circumference and the latter is on the centre)

so,

POQ=2l *

Angle OPQ is equal to angle OQP because OP is equal to OQ( RADII)

So,

POQ= 180-2m ** ( SUM of angles of triangle is 180 degrees)

Equating * and **

2l = 180-2m

2(l+m)=180

=> l+m= 180/2=90 degree

Hence Result

Hope this HELPS!


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