In the given scenario, with parallel lines AB and CD cut by a transversal, angles 2 and 6 are corresponding, and by the corresponding angles theorem, m∠6 = m∠2 = 60°.
Since AB || CD, angles 2 and 6 are corresponding angles. By the corresponding angles theorem, corresponding angles are equal. Therefore, m∠6 = m∠2 = 60°.
The corresponding angles theorem states that when two parallel lines are cut by a transversal, the corresponding angles are equal. Corresponding angles are angles that are in the same position relative to the parallel lines and the transversal. In the given figure, angles 2 and 6 are corresponding angles because they are both in the interior of the quadrilateral ABCD and on the same side of the transversal.
Answer: m∠6 = 60°