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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

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Exercise 9 Page 402

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

Classification: Supplementary angles.
Value of x: 13

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

Because the angles in the diagram make up a straight angle, we know that they are supplementary. Since the angles are supplementary, we know that the sum of their measures should equal 180^(∘). With this in mind, we can create an equation. 74^(∘) + (8x+2)^(∘) = 180^(∘) Let's solve this equation for x. We can remove the degree sign to make calculations easier.

74+(8x+2)=180

Remove parentheses

74+8x+2=180

LHS-76=RHS-76

74+8x+2-76=180-76

Add and subtract terms

8x=104

.LHS /8.=.RHS /8.

x=104/8

Calculate quotient

x=13

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