Question #3ccb5

1 Answer
Mar 31, 2017

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