Question

From the diagram given below, what is the relation between ∠BAC and ∠BCD?

(a) ∠BAD = ∠BCD

(b) ∠BAD = 2∠BCD

(c) ∠BAD = 0.5∠BCD

(d) ∠BAD = 3∠BCD

The question was asked in a job interview.

The above asked question is from Angle Subtended by an Arc of a Circle in division Circles of Mathematics – Class 9

Answer 1

Correct answer is (a) ∠BAD = ∠BCD

The best explanation: According to theorem 10.9, angles in the same segment are same.

We can see that angles ∠BAC and ∠BCD are in the same segment and hence ∠BAD = ∠BCD.