Measure of each exterior angle of an equilate | vedclass

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(A) An equilateral triangle is a triangle in which all three sides are equal and all three interior angles are equal.Each interior angle of an equilat

Vedclass · Accepted Answer

$120$

Vedclass · Answer

(A) An equilateral triangle is a triangle in which all three sides are equal and all three interior angles are equal.Each interior angle of an equilateral triangle is $60^{\circ}$.The sum of an interior angle and its corresponding exterior angle is $180^{\circ}$ (linear pair).Therefore,the exterior angle = $180^{\circ} - 60^{\circ} = 120^{\circ}$.Alternatively,the sum of all exterior angles of any polygon is $360^{\circ}$. Since an equilateral triangle has $3$ equal exterior angles,each exterior angle = $360^{\circ} / 3 = 120^{\circ}$.

Measure of each exterior angle of an equilateral triangle is $\ldots \ldots \ldots$ (in $^{\circ}$)

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