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The Exterior Angles of a Triangle - PowerPoint PPT Presentation

The Exterior Angles of a Triangle. Objective: Students will solve problems that involve an exterior angle of a triangle. Note: An exterior angle of a triangle is equivalent to the sum of its two non-adjacent interior angles. . Example #1: Find x. x. 120 . 40. Example #2: Find x. 5x.

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Objective: Students will solve problems that involve an exterior angle of a triangle.

Note: An exterior angle of a triangle is equivalent to the sum of its two non-adjacent interior angles.

Example #1: Find x. sum of its two non-adjacent interior angles.

x

120

40

Example #2: Find x. sum of its two non-adjacent interior angles.

5x

2(4x – 30)

x + 20

Example #3: Find x, then find the measure of the interior angles at A and B.

4x + 10

3x – 20

A

5(x – 14)

B

mA= 3(25) – 20 = 55

mB= 5(25 – 14) = 55