Question

Question #3ccb5

Answer 1

`25`

Explanation:

Let the size of an exterior angle be `x^@`
Given that the size of the interior angle is `151.2^@` bigger than its exterior angle
`=>` the size of the interior angle `=x+151.2`

An exterior and interior angle are supplementary angles.

`=> x+(x+151.2)=180^@`
`⇒2x=180-151.2`
`=> x=14.4^@`

The sum of the exterior angles of a polygon is always `360^@`

Number of sides `= 360/14.4=25`