Question

In the figure given below, AD = BD and ∠BAD = 65°. ∠ACB is equal to ______.

विकल्प

• 30°

• 40°

• 50°

• 65°

Answer 1

In the figure given below, AD = BD and ∠BAD = 65°. ∠ACB is equal to 50°.

Explanation:

Since AD = BD, triangle ADB is isosceles, so ∠BAD = ∠ABD = 65°. Thus ∠ADB = 180° − 65° − 65° = 50°. Because ∠ACB and ∠ADB subtend the same arc AB in the circle, ∠ACB = 50°.