Question

1 In figure AB and CD are two equal chords with
centere o OP and OR are perpendiculars on chords
AB and CD. If angle POQ is 150 degree tnen find the value
of angle APQ​

Answer 1

As AB = CD

So, OP = 0Q (equal chords are equidistant from the centre)

21 = 22 (angles oppsite to equal sides are equal)

Z1+ Z2+ POQ = 180°

21+ 2 1 + 1500 = 180°

∴21 = 150

Since APB is a line segment

∴Z BPO + 1+ Z APQ = 180°

90° +15° + 2 APQ = 180°

∴Z APQ = 75°