In a circle with centre

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

In a circle with centre OO, ABAB is a chord such that ∠AOB=136∘\angle AOB = 136^{\circ}. Use this information to answer the following. (a) Point CC lies on the minor arc ABAB. Calculate ∠ACB\angle ACB. (b) Point DD lies on the major arc ABAB. Find the reflex angle ∠ADB\angle ADB (the larger angle at DD). (c) Another chord PQPQ satisfies AB=PQAB = PQ. Determine the measure of ∠POQ\angle POQ.

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