Estelle drew two parallel lines PQ and R0S intersected by a transversal KL, as shown below: Which theorem could Estelle use to show the measure of angle KMQ is equal to the measure of angle RNL?

Question

Amir Ayala

Mathematics

20 March, 07:28

Estelle drew two parallel lines PQ and R0S intersected by a transversal KL, as shown below: Which theorem could Estelle use to show the measure of angle KMQ is equal to the measure of angle RNL?

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Answers (1)

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Grayson Schneider · Answer 1

Angle KMQ and angle RNL are on apposite sides of the transversal and between above and below (exterior to) the parallel lines, so they are alternate exterior angles. Theorem - Alternate exterior angles formed by parallel lines and a transversal have the same measure.