Question

In the given fig , Find value of angle x and angle y.
​

Answer 1

Answer:

y=120° and x=30°

Explanation: y=60×2 =120° (The angle subtended by an arc of a circle at its centre is twice of the angle it subtends anywhere on the circle's circumference.)

Now, OA=OB(radii of the same circle)

Thus angle OAB= angle OBA (angles opp to equal sides of a triangle)

By angle sum ppty,

y+x+x=180

120+2x=180

2x=60

x=30°