The sum of the measures of the interior angles of a polygon with n sides is

ANSWER

EXPLANATION

The sum of the interior angles of a triangle is 180°

We can rewrite this as:

The sum of interior angles of a quadrilateral is 360°

We can also rewrite this as:

In general an n-sided polygon has

the sum of the interior angles given by the formula:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: