Answer:
[tex]x=45\degree[/tex]
Step-by-step explanation:
In the diagram, the measure of the [tex](x+30\degree)[/tex] angle is equal to the [tex]75\degree[/tex] angle.
These two angles are alternate angles.
We therefore set up the following equation and solve for x.
[tex]x+30\degree =75\degree[/tex]
[tex]\Rightarrow x =75\degree-30\degree[/tex]
[tex]\Rightarrow x =45\degree[/tex]
