In the following figure, O is the centre...

In the following figure, O is the centre of the circle , AC is the diameter and if `angle APB =120^@` , then find `angle BQC` .

A

`30^@`

B

`150^@`

C

`90^@`

D

`120^@`

Verified by Experts

The correct Answer is:

B

(i) APBC is a cyclic quadrilateral.
(ii) `angle ABC` is an angle in a semi circle.
(iii) ABQC is a cyclic quadrillteral.

Similar Questions

Explore conceptually related problems

In the following figure,O is the centre of the circle,AC is the diameter and if /_APB=120^(@), then find /_BQC

In the following fiure. O is the centr of the circle and AD is the diameter. If angle ACB =135^@ , then find angle DOB .

In the adjoining figure, O is the centre of the circle and AC is its diameter. If angleBAC=30^@ , then find angleBOC .

In the following figure, O is the centre of the circle. AB is an arc of the circle, such that angle AOB=80^@ .Find angle ACB .

In the following figure, O is the centre of the circle. AB and CD are equal chords. If angle AOB=100^@ , Find the angle CED .

In the adjoining figure, O is the centre of the circle. Find the value of angle BEC .