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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

6. Trapezoids and Kites

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Exercise 72 Page 397

The rectangle has four right angles.

27

Practice makes perfect

We want to find the value of x in the given rectangle.

Recall the fact that the rectangle has four right angles. Therefore, the sum of the given angles is equal to 90. (x - 1) + (2x + 10) = 90 Let's solve this equation to find the value of x.

(x - 1) + (2x + 10) = 90

Remove parentheses

x - 1 + 2x + 10 = 90

Add and subtract terms

3x + 9 = 90

LHS-9=RHS-9

3x = 81

.LHS /3.=.RHS /3.

x = 27

Subchapter links

Lesson Check p.393

Practice and Problem-Solving Exercises p.394-397

Standardized Test Prep p.397

Mixed Review p.397