in the given figure o is the centre of the circle with chords AP and BP being produced to R and Q respectively. <QPR=35°, find the measure of <AOB. [CBSE-14-17DIG1U]
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in the given figure o is the centre of the circle with chords AP and BP being produced to R and Q respectively. <QPR=35°, find the measure of <AOB. [CBSE-14-17DIG1U]
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Answer:
Step-by-step 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°
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