Question

A and B vertical angles. If m A = (5x + 6)° and m B = (6x – 25)
then find the value of x

Answer 1

x = 31

Explanation:

5x + 6 = 6x - 25,

31 = x

Answer 2

`x = 31`

Explanation:

Recall that vertical angles are congruent. In other words:

`\displaystyle \angle A \cong \angle B`

Hence:

`\displaystyle m\angle A = m\angle B`

Substitute:

`\displaystyle \left(5x + 6\right) = \left(6x - 25\right)`

Solve for x. Subtract 5x from both sides:

`\displaystyle 6 = x - 25`

And add 25 to both sides:

`x = 31`

In conclusion:

`x = 31`