Question

The sum of 8 interior angles is thrice the sum of its exterior angle. Find the number of sides

Answer 1

Answer:

Sum of interior angles = 3 x Sum of exterior angles

Let exterior angle = x

The interior angle = 3x

x + 3x=180°

=> 4x = 180°

=> x = \frac { 180 }{ 4 }

=> x = 45°

Number of sides = \frac { 360 }{ 45 } = 8