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 18 Page 549

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

15

Practice makes perfect

We know the measures of two supplementary angles. The measure of ∠ J is (9x)^(∘) and the measure of ∠ K is 45^(∘).

Since the angles J and K are supplementary, we know that the sum of their measures should equal 180^(∘). We can solve for x by creating an equation using the expressions for the two smaller angles and their sum.

9x + 45 = 180
9x = 135
9x/9 = 135/9
x = 15