Question

the ratio of outer and inner angles of the regular polygon is 1:4?
a) find the outer angle? ​

Answer 1

Step-by-step explanation:

Let exterior angle = x° & interior angle = 4x°

∴ 4x + x = 180°

5x = 180°

x = 36°

∴ each exterior angle = 36°

Let no. of sides = n

∴ 360° /n = 36°

n = 360° /36°

n = 10