If $(86-5n)°$ and $(14+7n)°$ are vertical angles, what is the value of $n$ ?

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Answer 1 · 2017-09-08T16:02:22

$color(blue)(n = 6$

Vertical angles are equal:

$(86 - 5n) = (14 + 7n)$

Solving for n:

Add $5n$ to both sides and subtract $14$ from both sides.

$12n = 72$

Divide both sides by $12$

$n = 6$

Check with original statement:

$( 86 - 5(color(blue)(6) ) = (14 + 7(color(blue)(6) )$

$(56)^@ = (56)^@$

If (86-5n)°(86-5n)° and (14+7n)°(14+7n)° are vertical angles, what is the value of nn?