Respuesta :

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:

Angle ptu = 116°

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°