Question

set-up an equation and find the variable
In an equilateral triangle all angle are equal . Find them​

Answer 1

Answer:

In an equilateral triangle ABC,

AB=BC=CA

∠A= ∠B = ∠C [ Angles opposite to equal sides are always equal]

let ∠A= x

then

∠A= ∠B = ∠C = x

Now,

∠A+∠B +∠C = 180° [Angle sum property of a triangle]

x + x+ x=180°

3x = 180°

x =180°/3

x=60°

Therefore, all the angles of an equilateral triangle are equal and each of them are of 60°.

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