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The sum total of all the external angles is always ________(a) (n-2)180°(b) 180°(c) (n-2)360°(d) 360°I have been asked this question in final exam.Enquiry is from Sum of Measures of the Exterior Angles of a Polygon topic in chapter Quadrilaterals of Mathematics – Class 8

Answer»

The correct answer is (d) 360°

Explanation: As we know that the external angles for a supplementary pair of angles with the internal angles. We TAKE any square of any LENGTH, as we know that all the angles of a square MEASURE 90° and we ALSO know that they are supplementary.

Therefore 90°+x = 180°

Therefore x = 90°

Similarly the other THREE external angles also measure the same. Therefore the sum total of all the external angles is 360°.



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