Answer
x = 19°
Step-by-step explanation
To solve this, we need to first describe what corresponding angles are.
Corresponding angles are angles that occupy similar positions on two parallel lines that are connected by another straight line (transversal line). Corresponding angles are equal to each other.
From the image attached, we can see that 96° is corresponding to the space beside the (6x - 30)°.
And these two together for the sum of angles on a straight line. The sum of angles on a straight line is 180°.
96° + 6x - 30° = 180°
6x + 66° = 180°
6x = 180° - 66°
6x = 114°
Divide both sides by 6
(6x/6) = (114°/6)
x = 19°
Hope this Helps!!!