First, let's start off, let us define what are corresponding angles. When a transversal, which is a line that passes through two parallel lines, then the angles in the same corners are congruent.
Using this definition, the angles ∠2 is congruent to ∠6.
If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.
