Question

Given that l(1) and l(2) are parallel, find x

Answer 1

x = 40

Explanation:

The vertically opposite angles of x + 60° is Co-interior angles to the 2x.

Since

Vertically opposite angles are equal and Co-interior angles are supplementary.

By using this we can say that:

2x + x + 60° = 180°

Simplify like terms:

3x + 60° = 180°

Subtract 60° on both sides:

3x + 60° - 60° = 180° - 60°

3x = 120°

Divide both sides by 3 :

`\sf (3x)/(3)=(120)/(3)`

x = 40

Therefore, the value of x is 40.