given l is parallel to m, find the measure of angle ptu

Answer:
89 degrees
Step-by-step explanation:
since angle QL is a corrosponding angle to PTU, it would mean that they have the same angle measure.
Answer:
as line L is parallel to m
angle pqt = 89° ( vertically opposite angle)
angle tpq = 3x° ( vertically opposite angles).
in triangle pqt
angle p + angle q + angle t = 180° (angle sum proper of a triangle)
Let the unknown angle ptq be X
3x + 89 + X = 180°
3x + x + 89 = 180
4x + 89 = 180
4x = 180 - 89
4x = 91
x = 27°
angle u = 89° ( corresponding angles)
angle ptu = 89 + 27
= 116°