body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

Cumulative Practice

Exercise 2 Page 403

Angles on the opposite sides of the intersection of two lines are vertical angles.

42

First, let's take a look at the given diagram.

Because the angles in the diagram are on opposite sides of an intersection of two lines, we know that the angles are vertical. The measures of these angles are equal to each other by the Vertical Angles Theorem. 85^(∘) = (2x+1)^(∘) Let's solve this equation for x. We can remove the degree sign to make calculations easier.

85=(2x+1)

Remove parentheses

85=2x+1

LHS-1=RHS-1

84=2x

.LHS /2.=.RHS /2.

84/2=x

Calculate quotient

42=x

Rearrange equation

x=42

Subchapter links

Exercises