Home
Class 9
MATHS
In the adjacent figure, O is the centre ...

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`

Text Solution

Verified by Experts

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^@`
Promotional Banner

Similar Questions

Explore conceptually related problems

In the adjoining figure, O is the centre of the circle AC is a diameter and chord DE is parallel to the diameter AC. If angle CBD=60^(@) , find the value of angle CDE

In the figure 'O' is the centre of the circle angle AOB = 100^@ find angle ADB

In the figure 'O' is the centre of the circle angle AOB = 100^@ find angle ADB

In the figure 'O' is the centre of the circle angle AOB = 100^@ find angle ADB

In the given figure, O is the centre of the circle, angle AOB = 90^(@) . Find angle APB :

In Figure,O is the centre of the circle.If /_APB=50^(@), find /_AOB and /_OAB