Which equilateral polygon has each interior angle as 135 degrees?

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Solution

Let x be number of sides of polygon. For a polygon, the sum of angles is given by-

(x-2)180

Interior angle of an equilateral polygon is-

(x-2)180/x

Hence, (x-2)*180/x = 135.

Solving this equation we get value of x as 8.

Hence the polygon is an Octagon.

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Which equilateral polygon has each interior angle as 135 degrees?

Let x be number of sides of polygon. For a polygon, the sum of angles is given by- (x-2)*180 Interior angle of an equilateral polygon is- (x-2)*180/x Hence, (x-2)*180/x = 135. Solving this equation we get value of x as 8. Hence the polygon is an Octagon.

Let x be number of sides of polygon. For a polygon, the sum of angles is given by-

(x-2)180

Interior angle of an equilateral polygon is-

(x-2)180/x

Hence, (x-2)*180/x = 135.

Solving this equation we get value of x as 8.

Hence the polygon is an Octagon.