In the given figure, ∠POQ = 150° and AB, CD are equal chords, OP ⊥ AB and OQ ⊥ CD. Then ∠BPQ is…………………
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2
Answer:
Since AB=CD (equal chords) so, their distance from centre must le equal
So, OP=OQ
Now, In △POQ
(1) ∠OPQ=∠OQP
(2) ∠OPQ+∠OQP+∠POQ=180
0
⇒2∠OPQ+150
0
=180
0
⇒∠OPQ=15
0
Also, ∵P is midpoint of AB
OP⊥AB⇒∠APO=90
0
Now, ∠APQ=∠APO−∠OPQ=90
0
−15
0
=75
0
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