Question

The figure below shows two parallel lines intersected by a third line. What is the value of x

Answer 1

`x = 20`

Explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

`4x = x + 60`

Subtract x from both sides

`4x - x = x + 60 - x`

`3x = 60`

Divide both sides by 3

`(3x)/(3) = (60)/(3)`

`x = 20`