Question

In the given figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.

पर्याय

• 40°

• 80°

• 120°

• 60°

Answer 1

In the given figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to 80°.

Explanation:

Given, BC = CA,

∴ ∠B = ∠A = 40°  ......[∵ Opposite angles of two equal sides are equal]

As we know, the measure of any exterior angle of a triangle is equal to the sum of the measure of its two interior opposite angles.

So, ∠ACD = ∠A + ∠B = 40° + 40°

⇒ ∠ACD = 80°