Q11 of 40 Page 1

In fig. 2, PA and PB are tangents to the circle with centre O such that ∠APB = 50°, then the measure of ∠OAB is______.


OR


In Q. Fig. 3, PQ is a chord of a circle and PT is tangent at P such ∠QPT = 60°, then the measure of ∠PRQ is____.



ΔAPB is an isosceles triangle

⇒ ∠PAB = ∠PBA


⇒ ∠APB + ∠PAB + ∠PBA = 180°


⇒ 50° + ∠PAB × 2 = 180


⇒ ∠PAB = 65°


⇒ ∠OAB = 90°


Thus, ∠ OAB = ∠ OAP - ∠ PAB = 90° - 65° = 25°


OR


∠POR = 120°


∴ reflex ∠POR = 240


∠PRQ = 12 reflex ∠POR = 120


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