Chord AB of a circle subtends an angle of at point C on the circle and an angle of at…

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

Problem

Chord AB of a circle subtends an angle of

30^{\circ}

at point C on the circle and an angle of

x^{\circ}

at point D, where C and D lie on the same segment formed by AB. Which one of the following is the value of

x

? (a)

60^{\circ}

(b)

30^{\circ}

(c)

15^{\circ}

(d)

90^{\circ}