Question

A pair of parallel lines is cut by a transversal, as shown below.

What is the measure of angle x?

10 degrees

15 degrees

45 degrees

60 degrees

Answer 1

Answer: The answer is 45

Explanation:

Answer 2

`x=45\degree`

Explanation:

In the diagram, the measure of the
`(x+30\degree)` angle is equal to the
`75\degree` angle.

These two angles are alternate angles.

We therefore set up the following equation and solve for x.

`x+30\degree =75\degree`

`\Rightarrow x =75\degree-30\degree`

`\Rightarrow x =45\degree`