Question

What are the angles of an equilateral triangle?

Answer 1

Given: ΔSTU is an equilateral triangle.

We know that equilateral triangle is a special type of isosceles triangle with all the three sides equal.

∴ ST = TU = US

We know that angles opposite to equal sides are equal in measure.

∴ ∠SUT = ∠UTS = ∠TSU

Using angle sum property in ΔSTU, we have:

∠SUT + ∠UTS + ∠TSU = 180°

⇒ 3∠SUT = 180°

⇒ ∠SUT =

⇒ ∠SUT = 60°

Thus, each angle of an equilateral triangle measures 60°.