ab and cd are two equal chords ofa circle with centre o op and oq are perpendiculars on chords ab - Maths - Circles

Question

ab and cd are two equal chords ofa circle with centre o op and
oq are perpendiculars on chords ab and cd respectively if angle
poq=100, find pqd?

priyanka saggu · Accepted Answer

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"https://img-nm%20mnimgs%20com/img/study_content/content_ck_images/images/990(3)%20png"
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Here angle POQ = 100 degree
And AB and CD are equal chord so OP=OQ hence angle OQP= angle OPQ
so
In triangle OPQ ,
∠OPQ+OQP+100=180∠OPQ=OQP=40Hence angle PQD = 90 +40 = 130
degree

ab and cd are two equal chords ofa circle with centre o.op and oq are perpendiculars on chords ab and cd respectively.if angle poq=100, find pqd?