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

1 Answer
Sep 8, 2017

color(blue)(n = 6

Explanation:

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)^@