Question

If mBC in circle Ais 60°, what is mZ BDC?

a. 60 degrees
b. 45 degrees
c. 30 degrees
d. 25 degrees

Answer 1

It’s C

Explanation:

Answer 2

Option (C)

Explanation:

Measure of the arc BC of a circle A = 60°

Since, measure of an arc is equal to the measure of the central angle that intercepts the arc.

Therefore, m∠A = 60°

Since, measure of the inscribed angle is half of the central angle subtended by the same arc.

Therefore, m∠A =
`2* m(\angle {BDC})`

60° = 2 × m(∠BDC)

m∠BDC = 30°

Therefore, Option (C) will be the answer.