Big Ideas Math: Modeling Real Life, Grade 7
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5. Finding Unknown Angle Measures
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Exercise 20 Page 395

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

Classification: Complementary angles.
Value of x: 55

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

We have been given a pair of complementary angles and their measures written as algebraic expressions. 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 expressions for the two smaller angles and their sum. x^(∘) + 35^(∘) = 90^(∘) ⇒ x^(∘) = 55^(∘)