Find the measure of a exterior angle and a interior angle of a polygon with x+2y sides.
How do you do that?
To find the measures of the exterior and interior angles of a polygon with a given number of sides, you need to know the formula for calculating these angles.
- The formula for the measure of an exterior angle of any regular polygon is 360 degrees divided by the number of sides.
- The formula for the measure of an interior angle of any regular polygon is (n-2) * 180 degrees divided by the number of sides, where 'n' is the number of sides.
In this case, the polygon has x+2y sides. So, the measure of an exterior angle will be 360 degrees divided by the number of sides (x+2y), which is 360 / (x+2y) degrees.
Similarly, the measure of an interior angle will be [(x+2y - 2) * 180] / (x+2y) degrees.
Therefore, the measure of an exterior angle is 360 / (x+2y) degrees, and the measure of an interior angle is [(x+2y - 2) * 180] / (x+2y) degrees.