In triangle ABC, AB = AC and ∠A = 70°. Find the value of ∠C.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 55°.
According to the given question,
Given that, AB = AC
⇒ ∠B = ∠C
∠A = 70°
Also, sum of all angles of a triangle is 180°.
⇒ ∠A + ∠B + ∠C = 180°
⇒ 70° + 2∠C = 180°
⇒ 2∠C = 180° - 70°
⇒ 2∠C = 110°
⇒ ∠C = 55°
Hence the measure of ∠C is 55°.