Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
2. Complementary and Supplementary Angles
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Exercise 13 Page 548

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

49

Practice makes perfect

We know the measures of two complementary angles. The measure of ∠ E is (x - 10)^(∘) and the measure of ∠ F is (x + 2)^(∘).

Since the angles E and F 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 - 10) + (x + 2) = 90
x - 10 + x + 2 = 90
x + x - 10 + 2 = 90
2x - 8 = 90
2x = 98
2x/2 = 98/2
x = 49