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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

6. Inequalities in One Triangle

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Exercise 53 Page 331

Use the Triangle Angle-Sum Theorem.

40

Practice makes perfect

We have been given measures of the two angles of a triangle, △ AWP.

We will find the measure of the third angle using the Triangle Angle-Sum Theorem. This theorem tells us that the measures of the interior angles of a triangle must add to 180^(∘). If we let x be the unknown measure of the third angle, we can create an equation to solve for the third angle.

35+ 105+ x=180

Add terms

140+x=180

LHS-140=RHS-140

x=40

The measure of the third angle is 40^(∘).

Subchapter links

Lesson Check p.328

Practice and Problem-Solving Exercises p.328-331

Standardized Test Prep p.331

Mixed Review p.331