Question

What is the sum of interior angles of regular polygon if one of them is 135?

Answer 1

Sum of intetior angle of regulor polygon is (n-2)*180° by using this u can find outit yourself

Answer 2

Helloo!!


The formula for the the sum S of the n interior angles of an n-sided polygon is:

S = (n - 2)*180°.

Since the polygon is regular, all its n interior angles are the same.

Therefore the sum of them is (135°) times n,
or 135n°

S = 135n° (given)

Putting the value of S in formula then we get ::

(n - 2)*180 = 135n

180(n - 2) = 135n

180n - 360 = 135n

180n - 135n = 360

45n = 360
Therefore, n = 8
So the regular polygon has 8 sides and is therefore an octagon.

hope it helps