Question

What is the value of x? Enter your answer in the box.
X=

Answer 1

x=27

Explanation:

We know that the vertical opposite angles are equal when two lines intersect each other at a point.

So two angles are equal. We equate the angles and solve for x

`4x+7=5(x-4)`

To solve for x we multiply 5 inside the parenthesis

`4x+7=5x-20`

Subtract 4x from both sides

`7=x-20`

Now add 20 on both sides

`27=x`

The value of x is 27