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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

4. Using Corresponding Parts of Congruent Triangles

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Exercise 32 Page 248

Use the Triangle Exterior Angle Theorem.

x=105

Practice makes perfect

We want to find the missing angle of the given triangle. In order to do so, we will use the Triangle Exterior Angle Theorem. This theorem tells us that the measure of an exterior angle is equal to the sum of its two remote interior angles.

m∠ 1=m∠ 2+m∠ 3 Now, let's apply this theorem to the given triangle.

The sum of the measures of the two remote angles, 75^(∘) and 30^(∘), will give us the measure of the missing angle x^(∘). x= 75+ 30 ⇒ x=105

Subchapter links

Lesson Check p.246

Practice and Problem-Solving Exercises p.246-248

Standardized Test Prep p.248

Mixed Review p.248