Question

7. Find the measure of an interior angle of a regular polygon having 15 sides.

Answer 1

Sum of interior angles of a regular polygon with n-sides is n-2(180)

Given number of sides =15

So sum of interior angles =15-2*180

=13*180

=2340°.

Now each Interior angle = 2340/15 =156°.


[ OR ]

interior angleof a regular polygon with n-sides is (n-2)*180/n
Given number of sides =15

So each interior angle=15-2*180/15

=13*180 /15

=13*12

=156°.

The measure of an interior angle of a regular polygon having 15 sides is 156°

Answer 2

Answer:

side's =15

Step-by-step explanation:

so exterior angle= 360°/5=

24°

now

Exterior angle =180°-24°=

156°

your answer here

Exterior angle =24°

interior angle=156°