In a circle, four distinct points , , and lie on the circumference. Chord subtends…

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

In a circle, four distinct points

A

B

C

and

D

lie on the circumference. Chord

AC

subtends angles

(4x + 8)^{\circ}

B

and

(3x + 23)^{\circ}

D

, where

B

and

D

lie in the same segment with respect to chord

AC

. Chord

AD

subtends an angle of

62^{\circ}

C

, and point

B

lies in the same segment as

C

with respect to chord

AD

. Determine

\angle ABD

. (a)

68^{\circ}

(b)

62^{\circ}

(c)

56^{\circ}

(d)

60^{\circ}