If I have a polygon with x+2y sides, how do I find the interior and eterior angle? I know that to find the interior angle you use 180(x-2) and for the exterior you use 360/x. But do i just plug in x+2y for every x? I'm lost
180(x-2) gives you the SUM of the interior angles.
If you want the measure of each one, divide by x
Just replace x with (x+2y) in both formulas.
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To find the interior angle of a polygon with (x+2y) sides, you can use the formula:
Interior angle = 180 * (x+2y - 2) / (x+2y)
The formula calculates the sum of all the interior angles of the polygon. To find the measure of each interior angle, you divide this sum by the total number of sides, which is (x+2y) in this case.
Similarly, to find the measure of each exterior angle, you can use the formula:
Exterior angle = 360 / (x+2y)
This formula calculates the measure of each exterior angle for a polygon with (x+2y) sides.
So, to answer your question, yes, you can plug in (x+2y) for every instance of x in both formulas to find the interior and exterior angles of a polygon with (x+2y) sides.