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eimsori [14]
2 years ago
13

The angles shown above form a linear pair. Show all of your work for full credit.

Mathematics
1 answer:
Akimi4 [234]2 years ago
7 0

Answer:

A. (4n + 22) + (8n - 10) = 180

B. n = 14

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

(4n + 22) + (8n - 10) = 180

B. (4n + 22) + (8n - 10) = 180

Solve for n.

4n + 22 + 8n - 10 = 180

Collect like terms

12n + 12 = 180

Subtract 12 from both sides

12n + 12 - 12 = 180 - 12

12n = 168

Divide both sides by 12

\frac{12n}{12} = \frac{168}{12}

n = 14

C. Plug in the value of 14 to get the measurement of both angles

(4n + 22) = 4(14) + 22 = 56 + 22 = 78

(8n - 10) = 8(14) - 10 = 112 - 10 = 102

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