Question

In AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD respectively. ZPOQ = 150° then ZAPQ is equal to
a) 30°
b) 15°
c) 75°
d) 60°

Answer 1

Answer:

∠APQ = 75°

c)  75°

Step-by-step explanation:

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 = 180°

∠1 + ∠1 + 150° = 180°

∠1 = 15°

Since APB is a line segment

∠BPO + ∠1 + ∠APQ = 180°

90°+ 15° + ∠APQ = 180°

∠APQ = 75°

HOPE IT HELPS!!

Answer 2

Answer:

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