Question

is it possible to have a regular polygon whose each exterior angle measures 35 degree? justify​

Answer 1

Answer -

In this question , we have to show it it is possible for a regular polygon to have each exterior angle measure 35°

Solution -

We know that -

The sum of all the exterior angles in a convex polygon is always 360°

Let the polygon have n sides .

Now ,

35 ° × n = 360°

=> n = 360° / 35°

=> 10.2857 ....

Here , n is a non terminating decimal number .

However , a polygon can't have such a number of sides .

Hence. it is not possible to have such a regular polygon .

Thus we conclude that , this statement is false ..

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AddiTiOnaL InFoRmAtIon

• The exterior angle and the adjacent angle in a regular polygon is supplementary .

• Adjacent Interior angle = 180° - Exterior Angle

• Sum of all exterior angles in a Polygon = 360°

• Sum of all interior angles in a polygon of n sides

= ( n - 2 ) × 180°

Answer 2

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