5. Finding Unknown Angle Measures
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What is the sum of the measures of two complementary angles?
Classification: Complementary angles.
Value of x: 55
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^(∘)