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The measure of two angles are (2n+18) and (7n-11). If these are vertical angles, what is the value of n.

User Huppo
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2 Answers

4 votes

Answer:

n = 29/5 or 5 4/5

User Sglazkov
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5.5k points
7 votes

Answer:

The value of n is 29/5

Step-by-step explanation:

Given that (2n + 18) and (7n - 11) are two vertical angles, by definition, they are congruent.

so

2n + 18 = 7n - 11

Subtract 2n from both sides of the equation

2n + 18 - 2n = 7n - 11 - 2n

18 = 5n - 11

Add 11 from both sides of the equation

18 + 11 = 5n - 11 + 11

29 = 5n

Divide both sides by 5

n = 29/5

User Nau
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