Find all the angles of an equilateral triangl | vedclass

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Question

(A) In an equilateral triangle,all three sides are equal,i.e.,$AB = BC = AC$.
Since the angles opposite to equal sides of a triangle are equal,we hav

Vedclass · Accepted Answer

$60^{\circ},60^{\circ},60^{\circ}$

Vedclass · Answer

(A) In an equilateral triangle,all three sides are equal,i.e.,$AB = BC = AC$.
Since the angles opposite to equal sides of a triangle are equal,we have $\angle A = \angle B = \angle C$.
Let each angle be $x$.
By the angle sum property of a triangle,the sum of all interior angles is $180^{\circ}$.
Therefore,$\angle A + \angle B + \angle C = 180^{\circ}$.
$x + x + x = 180^{\circ}$.
$3x = 180^{\circ}$.
$x = \frac{180^{\circ}}{3} = 60^{\circ}$.
Thus,all the angles of an equilateral triangle are $60^{\circ}, 60^{\circ}, 60^{\circ}$.

Find all the angles of an equilateral triangle.

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