Question

Why do the angles in a triangle add up to 180 degrees?

Answer 1

Let N equal the number of angles in the polygon

Use the formula:

(N x 180)-360 = the sum of all the angles in the polygon

A triangle has 3 angles so:

(3 x 180)-360=180 degrees

(this formula works for any polygon, regardless of the number of it's angles)

Answer 2

Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.

Explanation:

Hope that helps!