Question

Is it possible to have a regular polygon each of whose interior angle is 45 *
​

Answer 1

QUESTION

Is it possible to have a regular polygon each of whose interior angle is 45?

ANSWER

The answer is yes.

The only polygons that has an interior angle of 45° is a triangle specifically a Right Triangle, in which the a specific set of angles can be the sum of a right angle. The 2 legs measures 45°

Another one is an octagon where each angle is measured also 45° and the sum of its interior angles is 8 times the half of the measurement in a right angle.

Hope it helps :)

Answer 2

Answer:

It is NOT posisible

Step-by-step explanation:

it is not possible to have a regular polygon with interoir angles as 45 ° as a right angled triangled is not a regular polygon as the angles in a regular polygon are always equal and not equal in case of a right angled triangle.

Explanation....

then the sum of all the interior angles = (n-2)×180° and

Let n be number of sides

each interior angle is = {(n-2) × 180°} / n

= n×45°

180n -360 =45n

135n =360 or n = (360°/135) =8/3

8/3 is not a whole number

therefore it is not possible

hope this helps

i am trying to help

Please stop reporting the answer when it is correct