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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Chapter Review

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Exercise 24 Page 73

The sum of measures of labeled angles is equal to 180^(∘).

x=31

Practice makes perfect

We have been asked to find x. We can see that the labeled angles on the figure form a linear pair.

The sum of measures of two angles forming a linear pair has to equal 180^(∘). Let's write this fact as an equation and solve for x.

(3x+31)+(2x-6)=180

▼

Solve for x

Remove parentheses

3x+31+2x-6=180

Add and subtract terms

5x+25=180

LHS-25=RHS-25

5x=155

.LHS /5.=.RHS /5.

x=31

Subchapter links

Exercises p.70-74