The polygon is a penthagon.
In a regular polygon with n sides, the sum of the interior angles is
But we also know that each interior angle has a measure of 108, and of course there is a total of n angles. So, we also know that the sum of the interior angles is
Since we have two expressions for the same quantity, these expressions must equal each other:
To solve for n, let's start by expanding the left hand side:
Now move all terms involving n to the left hand side, and all constants to the right hand side:
Simplify the right hand side:
And finally, divide both sides by 72:
I got it right on edg.
1: you turn %15 into a decimal by moving the decimal point two places to the left.
2: and then you multiply .15 by 1,200 , which will get you 180.00
3: from there you will add 180 to 1,200
4: which will get you 1,380
hope it *im kind of slow so idk if my answer is right*