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Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 8 Page 534

116 and (6x+32) are alternate exterior angles and (6x+32) and (5y-21) are a linear pair.

y=17
x=14

Practice makes perfect

To find the measure of x, we use the fact that 116 and (6x+32) are alternate exterior angles. Since the lines that are cut by the transversal are parallel, by the Alternate Exterior Angles Theorem, we know they are congruent. 6x+32=116 Let's solve the equation for x.

6x+32=116

SubEqn

LHS-32=RHS-32

6x=84

DivEqn

.LHS /6.=.RHS /6.

x=14

We also see that (5y-21) and (6x+32) form a linear pair. Therefore, by the Linear Pair Postulate, we know that these angles are supplementary. (5y-21)+(6x+32)=180 By substituting the value for x, we can solve for y.

(5y-21)+(6x+32)=180

Substitute

x= 14

(5y-21)+(6* 14+32)=180

▼

Solve for y

RemovePar

Remove parentheses

5y-21+6* 14+32=180

Multiply

5y-21+84+32=180

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