Exterior Angles of Triangles

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Objective

I can apply the exterior angle theorem to solve for unknown angles in triangles.

Part 1 of 3

Key concepts

3 concepts

  1. 1

    An exterior angle is formed when one side of a triangle is extended beyond its vertex.

  2. 2

    The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the two non-adjacent interior angles.

  3. 3

    If ∠ACD is an exterior angle of triangle ABC, then ∠ACD = ∠A + ∠B.

Part 2 of 3

Practice

7 questions

1

Define an exterior angle of a triangle.

2

State the exterior angle theorem.

Part 3 of 3

Exit ticket

Quick comprehension check

In triangle PQR, side QR is extended to point S, forming exterior angle ∠PRS. If ∠P = 58° and ∠Q = 73°, find the measure of ∠PRS.

Sample answer included in the free materials

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Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

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