Answer:
Interior Angle: 165°
Exterior Angle: 15°
Explanation:
So first you have to find the sum of all interior angles of a polygon with 24 sides. This can be found using the formula:
sum = ( n - 2 ) * 180° where 'n' is the number of sides.
When 'n = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. Assuming that this polygon is equilateral, you can surmise that:
Interior Angle = sum° / n where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.