Question

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

Answer 1

`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)^@`