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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

5. Finding Unknown Angle Measures

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Exercise 16 Page 394

Two angles are complementary if the sum of their measures is 90^(∘). Two angles are supplementary if the sum of their measures is 180^(∘).

Are Angles Complementary, Supplementary, or Neither? Neihter
Explanation: The sum of measures equals 190^(∘).

Practice makes perfect

Let's start by recalling the definitions of complementary and supplementary angles.

Complementary Angles	Supplementary Angles
Two angles are complementary if the sum of their measures is 90^(∘).	Two angles are supplementary if the sum of their measures is 180^(∘).

Let's now consider the given angles.

angles

To determine whether they are complementary, supplementary, or neither, we will calculate the sum of their measures. 122^(∘) + 68^(∘) = 190^(∘) Since the sum is neither 90^(∘) nor 180^(∘), the angles are neither complementary nor supplementary.

Subchapter links

Try It p.390-392

Self-Assessment for Concept & Skills p.392

Self-Assessment for Problem Solving p.393

Review & Refresh p.394

Concept, Skills, & Problem Solving p.394-396