Answer:
x = 54
Step-by-step explanation:
When two lines intersect, they form two pairs of opposite angles. Opposite angles are always congruent, which means that they are equal.
In the picture, we have information about one pair of opposite angles and we know they are equal by definition.
Therefore, to find out x, we have to compare both angles:
2x + 2 = 3x - 52
Now we put together on one side of the equation the terms with x and on the other side the terms without it.
For that, we add 52 - 2x on both sides:
2x + 2 + 52 - 2x = 3x - 52 + 52 - 2x
2 + 52 = 3x - 2x
54 = x
