Question

In the figure o is centre of circle. AB arc subtend angleAOB at the centre and angle AQB at point Q on the remaining part of the circle. if angle AQB=70° find angle AOB.​

Answer 1

Step-by-step explanation:

it is given that :

AQB = 70° and. AB arc subtend angle AOB it means that o is a center where AB meet at a point

So, anlge AOB = 2× angle PAQ [ it is a proved in geometry ]

so angle AOB = 2× angle AQB

therefore , angle AQB = 70 °

so , angleAOB = 2× 70°

so , angle AOB = 140°. ans