Question

The interior angles of an octagon are in AP the smallest angle is 30 the common difference is 30 then the sum of all the angles is

Answer 1

Step-by-step explanation:

An octagon is a quadrilateral of 8 sides.

a=30 and d=30 (given), n=8 (number of angles)

Sum of all angles= Sn = n/2 [2a+(n-1)d]

8/2 [2(30)+(8-1)30]

4 [60+(7)30]

4 [60+210]

4[270]

1080

So,

The sum of all angles of the octagon is 1080 degree.

Thank you...