The sum of the measures of the interior angels of a convex polygon is 3240 classify the polygon by the number of sides

20-gon

Step-by-step explanation:

First we start with the formula  to find what the sum of angles will be if we know the number of sides.  

S=(n-2)*180 where S is the sum of angles and n is the number of sides.

Normally you'd plug in n to find S, but you can do the opposite too.

3240=(n-2)*180

Let me know if you need help working it from here.  

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus