Answer: 135 °
Explanation:
We know that when twp parallel lines are intersected by a transversal then the alternate exterior angles are equal. (1)
IN the given figure , we have two lines r and t parallel to each other.
Here, The one pair of exterior angles is m ∠ 5 and angle 135°.
From (1), m ∠ 5 = 135 °. [∵ Alternate exterior angles made by parallel lines are equal.]
Hence, the measure of m ∠ 5 = 135 °.