Respuesta :

M angle 5 is 135 because they are the outer opposites

Answer: 135 °

Step-by-step 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 °.