Use the sum of interior angles to find the measure of one interior angle ex 2

What is the relationship between the sum of interior angles and the number of sides in a polygon?

• The sum is equal to the number of sides times 180.

• The sum is equal to the number of sides plus 180.

• The sum is always 360 degrees.

• The sum is (n-2) times 180, where n is the number of sides.

For a polygon with 5 sides, what is the sum of its interior angles?

• 360 degrees

• 540 degrees

• 720 degrees

• 180 degrees

Which of the following expressions correctly represents the sum of the given angle expressions in the problem?

• 2X + 3X + 14 + 3X + 14 + 2X + 142

• 2X + 3X + 3X + 2X + 14 + 14 + 142

• 2X + 3X + 3X + 2X + 14 + 14 + 14

• 2X + 3X + 3X + 2X + 142 + 142

After combining like terms, what is the equation used to solve for X?

• 10X + 170 = 540

• 10X + 170 = 180

• 10X + 170 = 370

• 10X + 170 = 270

What is the value of X after solving the equation?

• 57

• 27

• 37

• 47