Question

The sum of interior angles of a regular polygon n sided is 1080 degrees. calculate:a)the value of n b)the size of exterior angles of the polygon

Answer 1

Answer:

a)n=8

b)45°

Step-by-step explanation:

Sum of all interior angles of a polygon of n sides is (n-2)180°

GIVEN ==>

(n-2)180=1080

(n-2) = 1080÷180=6

n-2=6

n=8

Sum of all exterior angles of any polygon =360°

If it is a regular polygon Each exterior angle will be 360÷n because there will be n equal exterion angles

n=8

360÷n

= 360÷8

=45°