Using the exterior angle sum theorem to find the value of x

The video tutorial covers the calculation of interior and exterior angles in polygons. It begins by explaining how to find the sum of interior angles using the formula (n-2) * 180, where n is the number of sides. The tutorial then shifts focus to exterior angles, emphasizing that their sum is always 360 degrees, regardless of the number of sides. The instructor sets up an equation to solve for unknown exterior angles and demonstrates the process of combining like terms and solving for x. The tutorial concludes with a step-by-step solution to the equation, reinforcing the concepts of angle sums and algebraic manipulation.

How do you calculate the sum of interior angles of a polygon?

• Multiply the number of sides by 180

• Add two to the number of sides and multiply by 180

• Subtract two from the number of sides and multiply by 180

• Multiply the number of sides by 360

What is the sum of the exterior angles of any polygon?

• Varies with the number of sides

• The same as the number of sides

• 360 degrees

• 180 degrees

If the sum of exterior angles is 360 degrees, what is the measure of each exterior angle in a regular hexagon?

• 120 degrees

• 90 degrees

• 60 degrees

• 30 degrees

In the equation 4X = 372, what is the value of X?

• 93

• 92

• 91

• 94

What is the first step in solving the equation for unknown angles?

• Combine like terms

• Multiply all terms by 2

• Subtract the smallest term

• Divide by the number of terms