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In this figure, AB | CD and m/2 = 60°.
What is m26?
Enter your answer in the box.

In this figure, AB | CD and m/2 = 60°. What is m26? Enter your answer in the box.-example-1

1 Answer

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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°

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