Determining how to find the total amount of degrees in a shape. Please find the rules for calculating angle totals in Quadrilaterals and Triangles.

Question

PLZ I NEED IT TODAY AS FAST AS POSSIBLE

Answer 1

Start with a hexagon.

https://www.desmos.com/calculator/fbwqtzdou9

Then use only 1 vertex, and from that 1 vertex, draw a line to each of the other vertices.

Like shown in this figure

https://www.desmos.com/calculator/9om6mt4hhu

Notice, it makes 4 triangles. Each triangle has 180 degrees in it. So a hexagon has 4 * 180 = 720 degrees in total.

If it was a quadrilateral, it only makes 2 triangles, so every quadrilateral has 2 * 180 = 360 degrees in total.

Answer 2

M = (n - 2)180, M is the total degree measure of the angles and n is number of sides/angles.