Question

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

Answer 1

Answer: The answer is 45

Step-by-step explanation:

Answer 2

Answer:

$x=45\degree$

Step-by-step 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.

$x+30\degree =75\degree$

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

$\Rightarrow x =45\degree$