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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 2 Page 413

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

Classification: Complementary
Value of x: 16^(∘)

Practice makes perfect

Because the angles in the given diagram form a right angle, we know that they are complementary.

Since the angles are complementary, we know that the sum of their measures should equal 90^(∘). We can solve for x by creating an equation using the values for the two angles and their sum.

74^(∘) + x^(∘) =90 ^(∘)

LHS-74 ^(∘)=RHS-74 ^(∘)

74^(∘) + x^(∘) - 34^(∘) =90 ^(∘) - 74^(∘)

Subtract term

x^(∘) = 16 ^(∘)

We found that the given pair of angles are complementary and the value of x is 16^(∘).

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