Question

Question #1148e

Answer 1

Sum of interior angles :
1) Triangle `180^0`

2) Polygon `(n-2)pi` where ‘n’ is the number of sides of the polygon

Explanation:

Interior angles of a triangle add upto `180^0`

Interior angles of a polygon add upto `(n - 2) pi`, where ‘n’ is the no. of sides of the polygon.

Eg:
1. Triangle - n = 3, total interior angle `= (3-2)pi = pi = 180^0`

1. Quadrilateral : n = 4, sum of interior angles `= (4-2)pi = 2pi = 360^0`

2. Hexagon : n = 6, sum of interior angles( = `(6-2)pi = 720^0`

3. Dodecagon : n = 12, sum of interior angles #= (12-2)pi = 1800^0