Measurement of ea

Given:

Measure of each 5 angles = 172°

Measure of each remaining angles = 160°

Let the total number of sides for polygon be n.

Sum of all angles in given polygon = (5 × 172) + (n – 5) × 160

(5 × 172) + (n – 5) × 160 = (2n – 4) × 90

860 + 160n – 800 = (2n – 4) × 90

160n + 60 = 180n – 360

180n – 160n = 360 + 60

20n = 420

n = 420 / 20

n = 21

Therefore the given polygon has total number of sides equal to 21.

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