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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

1. Surface Areas of Prisms

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Exercise 1 Page 413

What is the sum of the measures of two supplementary angles?

Classification: Supplementary
Value of x: 146^(∘)

Practice makes perfect

Because the angles in the given diagram make up a straight line, we know that they are supplementary.

Since the angles are supplementary, we know that the sum of their measures should equal 180^(∘). We can solve for x by creating an equation using the values for the two angles and their sum.

34^(∘) + x^(∘) =180 ^(∘)

LHS-34 ^(∘)=RHS-34 ^(∘)

34^(∘) + x^(∘) - 34^(∘) =180 ^(∘) - 34^(∘)

Subtract term

x^(∘) = 146 ^(∘)

We found that the given pair of angles are supplementary and the value of x is 146^(∘).

Subchapter links

Try It p.410-411

Self-Assessment for Concept & Skills p.411

Self-Assessment for Problem Solving p.412

Review & Refresh p.413

Concept, Skills, & Problem Solving p.413-414