In the figure, lines m and n are parallel.
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
If m∠6 = 97°, what is m∠5?
83°
90°
97°
180°
Since the lines m and n are parallel, angle 5 and angle 6 are corresponding angles. Corresponding angles formed by a transversal and parallel lines are congruent, meaning that they have the same measure.
Therefore, m∠5 = m∠6 = 97°.