Question

the exterior angles of a regular polygon is 36°.
what is the number of sides of that polygon?
b. find the sum of angles?
c. find the measure of one inner angle?

​

Answer 1

Answer:

Let the number of sides of regular polygon be n

Exterior angle of regular polygon is E=360n;E=360

∴n=360E=36036=10. So it is regular Decagon having 10

equal sides. Sum of polygon's interior angles is

∑i=(n−2)⋅180=(10−2)⋅180=14400[Ans]

Answer 2

Answer:

We know that the measure of exterior angle is (n360)0 where n is the number of sides.

Here, it is given that the number of sides n=18, therefore, 

(n360)0=(18360)0=200

Hence, the measure of exterior angle is 200.