Question

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In the figure shown below (above), O is the centre of the circle and the measure of arc PQR is 80°. Find the measure of <PQR. ​

Answer 1

ANGLE PSR = 1/2 ANGLE POR

..........BY THEOREM ( ANGLE SUSPENDED BY AN ARC AT CENTRE IS DOUBLE THE ANGLE SUSPENDED BY IT IN THE SAME SEGMENT)

THEREFORE...

ANGLE PSR = 80⁰/2= 40⁰

ANGLE PSR + ANGLE PQR = 180⁰

ANGLE PQR = 180⁰_ 40⁰ = 140⁰

Answer 2

angle given = POR = 80

PQR + POR = 180

PQR + 80 = 180

PQR = 180 - 80

PQR = 100

I think this is the answer..........I hope it helps you