Question

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

Answer 1

To find the value of x in this problem, we can use the fact that the sum of the angle measures of a polygon is equal to 180 degrees less than the number of sides of the polygon multiplied by 180 degrees. By solving the equation 180x - 180 = 540, we find that x is equal to 4.

Step-by-step explanation:

To find the value of x in this problem, we need to use the fact that the sum of the angle measures of any polygon is equal to 180 degrees less than the number of sides of the polygon multiplied by 180 degrees. So, if we have a polygon with x sides, the equation would be:

x×180 - 180 = 540

Simplifying the equation, we get:

180x - 180 = 540

180x = 720

x = 720/180

x = 4

Answer 2

Let's set the measure of each angle equal to 540 degrees.

4x + 4x + 5x + 2 + 96 + 5x - 8 = 540

Combine like terms.

18x + 90 = 540

Subtract 90 from both sides.

18x = 450

Divide both sides by 18

x = 25