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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

1. The Pythagorean Theorem and Its Converse

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Exercise 56 Page 498

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

23^(∘)

Practice makes perfect

Two angles are complementary if the sum of their measures is 90^(∘). We want to find the complement ∠1 of an angle which measures 67^(∘). We can create an equation to demonstrate the relationship between the angles. m∠ 1 + 67^(∘)= 90^(∘) Let's solve the equation, to find m∠ 1.

m∠ 1 + 67^(∘)= 90^(∘)

LHS-67^(∘)=RHS-67^(∘)

m∠ 1= 23^(∘)

The measure of the complement of the given angle is 23^(∘).

Subchapter links

Lesson Check p.495

Practice and Problem-Solving Exercises p.495-498

Standardized Test Prep p.498

Mixed Review p.498