Question

The difference between any 2 consecutive interior angles of a polygon is 5 degree. If the smallest angle is 120degrees. Find the no. Of sides the polygon. AP

Answer 1

Step-by-step explanation:

Let the number of side / term = n

Here, common difference = 5°

first term = 120°

Sum of exterior angle of polygon = 2(n-2)90 = Sn

Now,

Sn = n/2{2a + (n-1)d}

2(n-2)90 = n/2{2 × 120 + (n-1)5}

Solve it and get answer......

Hence, n = 9.

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