Question

Prove that a regular polygon has 5 sides,if its exterior angle is two-third of its interior angle

Answer 1

Answer:

regular polygon has 5 sides

Answer 2

Answer:

Step-by-step explanation:

Exterior angle × side = 2/3 × Interior angle

n = no.of sides

360/n = 2/3

360×3 = 2×n

1080 = 2n

n = 1080/2

n = 540

∴540 is the sum of interior angles of a pentagon which has 5 sides.

∴ Hence proved