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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Finding Unknown Angle Measures
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Exercise 22 Page 395

If the angles in the diagram make up a straight line, we know that they are supplementary.

Classification: Supplementary angles.
Value of x: 63

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

Because the angles in the diagram make up a straight line, we know that they are supplementary. Since the angles 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. 117^(∘) + x^(∘) = 180^(∘) ⇒ x^(∘) = 63^(∘)

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