In the adjacent 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`

In the adjacent figure, O is the centre of the circle with chords AP a

1.	In the adjacent 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» Here, `/_APB and /_QPR` will be equal as they are vertically opposite angles. `:. /_APB = /_QPR = 35^@` Also, we know angle made by a chord at point on the circle is half of the angle made at the center of the circle. `:. /_APB = 1/2/_AOB` (Here, `AB` is the chord) `=>/_AOB = 2/_APB = 2**35 = 70^@` `:./_AOB = 70^@`

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In the adjacent 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`

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