Mathematics

Mathematics

Problem

In a circle, four distinct points

A

,

B

,

C

and

D

lie on the circumference. Chord

AC

subtends angles

(4x + 8)^{\circ}

at

B

and

(3x + 23)^{\circ}

at

D

, where

B

and

D

lie in the same segment with respect to chord

AC

. Chord

AD

subtends an angle of

62^{\circ}

at

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}

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