Question

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

Answer 1

n = 29/5 or 5 4/5

Answer 2

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