Worksheet: Exterior Angles of a Polygon

In this worksheet, we will practice identifying exterior angles of polygons, finding their sum, and using them to solve problems.

Q1:

What is the sum of the measures of the exterior angles of a hexagon?

Q2:

Chloe is experimenting with the exterior angles of a triangle. She colors the angles, cuts them out, and sticks them together as seen in the figure. Will angle 𝑧 fit in the space to complete the circle?

  • ANo
  • BYes

Q3:

What is the measure of the exterior angle of an equilateral triangle?

Q4:

In the figure 𝑚𝐷𝑀𝐴=28. What are 𝑚𝐸𝐷𝑀 and 𝑚𝐸𝑀𝐷?

  • A28, 68
  • B56, 56
  • C56, 68
  • D56, 62

Q5:

What is the sum of the exterior angles of a triangle?

Q6:

In the figure, use the information given to determine 𝑚𝐴𝐶𝐷.

Q7:

Determine 𝑚𝐵𝐸𝐶.

Q8:

If a polygon has an interior angle of 46, what is its corresponding exterior angle?

Q9:

If the exterior angle of a regular polygon is 120, how many sides does the polygon have?

Q10:

True or False: The sum of the exterior angles of an irregular pentagon is 360.

  • ATrue
  • BFalse

Q11:

True or False: Any interior angle in a polygon and the adjacent exterior angle of the same polygon are supplementary.

  • ATrue
  • BFalse

Q12:

In the given pentagon, which of the following angles is an exterior angle?

  • A𝐵
  • B𝐴
  • C𝐷
  • D𝐶
  • EAll of them

Q13:

Fill in the blank: The sum of the exterior angles of any polygon is .

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