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
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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