In the following figure, O is the centre of the circle, A C is the diameter and if angle A P B=120°, then find angle B Q C.

Question

In the following figure, O is the centre of the circle, A C is the diameter and if angle A P B=120°, then find angle B Q C. (A) 30° (B) 150° (C) 90° (D) 120°

Tardigrade Admin · Accepted Answer

(i) A P B C is a cyclic quadrilateral. (ii) angle A B C is an angle in a semi-circle. (iii) A B Q C is a cyclic quadrilateral.

Q. In the following figure, $O$ is the centre of the circle, $A C$ is the diameter and if $∠ A PB = 12 0^{\circ}$ , then find $∠ BQC$ .

$3 0^{\circ}$

$15 0^{\circ}$

$9 0^{\circ}$

$12 0^{\circ}$

(i) $A PBC$ is a cyclic quadrilateral.
(ii) $∠ A BC$ is an angle in a semi-circle.
(iii) $A BQC$ is a cyclic quadrilateral.

Q. In the following figure, O is the centre of the circle, AC is the diameter and if ∠APB=120∘, then find ∠BQC.

30∘

150∘

90∘

120∘