1.

Find the measure of angles made by intersecting lines on the vertices of an equilateral triangle.

Answer»

Let ABC is an equilateral triangle.

∵ All angles of equilateral triangle are equal.

∴ ∠A =∠B =∠C = x (Let)

⇒ x + x + x = 180°

⇒ 3x = 180°

⇒ x = 60°

∴ ∠A =∠B =∠C = 60°



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