Question

"Question 8 Show that the angles of an equilateral triangle are 60º each.

Class 9 - Math - Triangles Page 124"

Answer 1

ANSWER

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Answer 2

Given:
∆ABC is an equilateral triangle.


To Prove:
∠A = ∠B = ∠C=60°


Proof: Since, all three angles of an equilateral∆ are equal.

⇒∠A =∠B = ∠C..........(1)

Also,
∠A + ∠B + ∠C = 180° ( by angle sum property)

∠A + ∠A + ∠A=180° . (from eq.1)
⇒ 3∠A = 180°
⇒ ∠A = 180°/3=60°
∠A =60°

Therefore, ∠A = ∠B = ∠C = 60°

Hence, the angles of an equilateral triangle are 60° each.

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