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Question
In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to ______.
Options
40°
80°
120°
60°
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Solution
In the following 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°
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