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In any equilateral triangle, find the sum of all the external angles.

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in Mathematics – Class 8 by (91.0k points)
In any equilateral triangle, find the sum of all the external angles.

(a) 180°

(b) 120°

(c) 60°

(d) 360°

I had been asked this question during an online exam.

My question is from Sum of Measures of the Exterior Angles of a Polygon in section Quadrilaterals of Mathematics – Class 8

1 Answer

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Best answer
The correct choice is (d) 360°

The best I can explain: As we know from our prior knowledge that all the angles in any equilateral triangle the angles measure 60°. Therefore the external angle would be measuring 120° as the pair of internal and external angles is always linear. Since there are three identical external angles, therefore our answer would be 120 ×3=360°.

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