If the sum of the interior angle measures of a polygon with n sides is 2880 find n

the sum of the interior angles in an ngon is (n-2)*180

so if the sum of the interior angles is 2880, then

2880=(n-2)*180

solve for n

divide both sides by 180

14=n-2

add 2 to both sides

16=n

n=16

18

Step-by-step explanation:

plug it in

(18-2) 180=2880

18-2

16

16*180

2880

The polygon has 18 sides.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc