Question

the sum of all interior angles of a regular polygon is 1080 degree what is the measure of each of its interior angles​

Answer 1

Answer:

We know that,

sum of all interior angles of a regular polygon is 2n-4/n ×90

According to the question

1080 = 2n- 4/n × 90

1080n = 90 (2n -4)

1080n/90 = 2n -4

12n = 2n -4

12n - 2n = -4

10n = -4

n= -4 /10

n = -2/5