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.


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


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


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


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

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


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


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


Determine 𝑚𝐵𝐸𝐶.


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


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


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

  • ATrue
  • BFalse


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

  • ATrue
  • BFalse


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

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


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

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