8. Show that the angles of an equilateral triangle are 60° each. Solution:
Solution: Let ABC be an equilateral triangle as shown below: Here, BC = AC = AB (Since the length of all sides is same) ⇒ ∠A = ∠B =∠C (Sides opposite to the equal angles are equal.) Also, we know that ∠A+∠B+∠C = 180° ⇒ 3∠A = 180° ⇒ ∠A = 60° ∴ ∠A = ∠B = ∠C = 60° So, the angles of an equilateral triangle are always 60° each.
