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CBSE Class 9 Answered

In the figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD respectively. If POQ = 150o, find APQ.
Asked by Topperlearning User | 07 Feb, 2014, 12:35: PM
answered-by-expert Expert Answer

As AB = CD

So, OP = OQ  (equal chords are equidistant from the centre)

1 = 2      (angles oppsite to equal sides are equal)

1 + 2 + POQ = 180o

1 + 1 + 150 o = 180o

1 = 15o

Since APB is a line segment

BPO + 1 + APQ = 180o

90o + 15 o + APQ = 180o

APQ = 75o

Answered by | 07 Feb, 2014, 02:35: PM
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