Lesson Worksheet: Interior and Exterior Angles of Triangles Mathematics

In this worksheet, we will practice completing geometric proofs using the angle sum of a triangle and finding interior and exterior angles of triangles.

Q1:

In a triangle 𝑋𝑌𝑍, if 𝑋𝑌=𝑋𝑍, what type of angle is the exterior angle at vertex 𝑍?

  • Aright
  • Breflex
  • Cacute
  • Dobtuse

Q2:

The figure shows the exterior angles of a given triangle. Find the sum of the exterior angles.

Q3:

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

Q4:

Find 𝑚𝐶𝐴𝐸.

Q5:

In a triangle 𝐴𝐵𝐶, if 𝐴=12𝐵=2𝐶, what type of angle is the interior angle at vertex 𝐵?

  • AReflex
  • BObtuse
  • CAcute
  • DRight

Q6:

In the following triangle 𝐴𝐵𝐶, if 𝑚𝐶=𝑚𝐶𝐴𝐷=43 and 𝑚𝐵=𝑚𝐵𝐴𝐷, find 𝑚𝐵𝐴𝐶.

Q7:

In the given figure, if 𝐴𝐶𝐷𝐸, 𝑚𝐴𝐵𝐸=55, and 𝑚𝐶=75, find the measure of 𝐴𝐵𝐶.

Q8:

In the given figure, find the measure of the interior angle 𝐴.

Q9:

In the given figure, find the measure of the exterior angle 𝐶.

Q10:

Find the measure of 𝐴.

This lesson includes 2 additional questions and 63 additional question variations for subscribers.

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