Question

find number of sides in a regular polygon if its interior angle is equal to 3 times of its exterior angle​

Answer 1

Answer:

interior angle + exterior angle=180°(linear pair)...1

let the exterior angle=x

so interior angle=3x

3x+x=180. ( statement 1)

4x=180°

x=180°/4

x=45°

exterior angle=45°

no. of sides polygon have= 360°/exterior angle

no. of sides polygon have=360°/45°

no. of sides polygon have=8 sides means a octagon.

thnku ........