Question

Line r is parallel to line t. Find m5. The diagram is not to scale.

Answer 1

The 135 degrees angle and angle 3 form a straight angle, therefore:
measure angle 3 = 180 - 135 = 45 degrees

The summation of the measures of angles 3 and 2 is 180, therefore:
measure angle 2 = 180 - 45 = 135 degrees

angle 2 and angle 5 are opposite angles, which means that their measures are equal. Therefore:
measure angle 5 = 135 degrees

Answer 2

The answer is 135 degrees.  Hope this helps.