Question

Find the value of x

Answer 1

x = 25

Explanation:

Given line m and line n are parallel lines:

The sum of given angles would be 180° because they are supplementary angles.

We can write the following equation based on above mentioned information to find the value of x:

3x + 4 + x - 4 = 180

• Add/subtract like terms.

4x = 180

• Divide both sides by 4.

x = 25

Answer 2

The marked angles are alternate interior angles, so they add up to
`180^(\circ)`.

`x-4+3x+4=180\\4x=180\\x=45`