Q4 of 62 Page 10

In figure, if ∠AOB = 125°, find the ∠COD.

Given: ∠AOB = 125°


To find: ∠COD


Explanation:


As in the given figure ABCD is a quadrilateral circumscribing the circle and we know that, the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.


So, we have


∠AOB + ∠COD = 180°


125° + ∠COD = 180°


∠COD = 55°


More from this chapter

All 62 →
2

Is the angle between two tangents to a circle can be 0°?

 3

If radii of two concentric circles are 4 cm and 5 cm. Find the length of each chord of one circle which is tangent to the other circle.

 5

In figure, AT is a tangent to the circle with center 0 such that OT = 4 cm and ∠OTA = 30°. Then, AT is equal to?

 6

In figure, if O is the center of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to