Question

In the given figure, O is the centre of the circle with chords AP and BP being

produced to R and Q respectively. If angle QPR = 35°, find the measure of angle AOB
​

Answer 1

It's 70°

Explanation:

∠APB = ∠RPQ = 35°

Now, ∠AOB and ∠APB are angles subtended by an arc AB at centre and at the remaining part of the circle .

∴∠AOB = 2∠APB = 2 × 35° = 70°