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

Q2:

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

Q3:

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

  • AReflex
  • BObtuse
  • CAcute
  • DRight

Q4:

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

  • Aright
  • Breflex
  • Cacute
  • Dobtuse

Q5:

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

Q6:

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

Q7:

Find the measure of 𝐴.

Q8:

Find the measure of 𝐴𝐶𝐵.

Q9:

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

Q10:

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

Practice Means Progress

Download the Nagwa Practice app to access 23 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.