Exploring the Exterior Angle Sum Theorem

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

• 720 degrees

• 540 degrees

• 360 degrees

• 180 degrees

In the triangle example, what is the first step to find the missing angle?

• Divide the sum by the number of angles

• Multiply the angles together

• Combine like terms

• Subtract the known angles from 360

What is the value of y in the triangle example?

• 15

• 10

• 17

• 12

What is the key concept to remember about the sum of exterior angles?

• It is always 180 degrees

• It is always 360 degrees

• It varies with the shape

• It depends on the number of sides

In the hexagon example, what is the first step to solve for the missing angle?

• Add all the angles together

• Combine like terms

• Subtract the known angles from 360

• Multiply the angles together

How many sides does the polygon in the last example have?

• 3

• 4

• 5

• 6

What is the sum of the coefficients of x in the hexagon example?

• 45

• 50

• 60

• 55

What is the sum of the constant terms in the hexagon example?

• 75

• 80

• 90

• 85

What is the value of x in the hexagon example?

• 3

• 6

• 4

• 5

What should you do after combining like terms in the hexagon example?

• Divide both sides by 55

• Subtract 85 from both sides

• Multiply both sides by 55

• Add 85 to both sides