Question

In the figure, find the value of ∆PQR
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Answer 1

Answer:

When we join QO and PR

then both lines intersect at right angle by theorem line drawn from centre to chord

so we prove PQRO is rhombus

we know that opposite side of rhombus are equal

therefore anglePQR=anglePOR=138*

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Answer 2

Answer:

angle PQR = 111°

Step-by-step explanation:

Angled subtended by an arc, at the centre of the circle is double the angle subtended by the same arc at any point in the remaining part of the circle

so the reverse.angle POR = 2 angle PQR

reverse angle POR = 360° - 138

= 222°

then angle PQR = 1/2 × 222

= 111°

thus angle PQR is 111°