Would someone me out with geometry? ? i tried yesterday with other questions and got no . you so

Problem 16.

Angles NPR and PTS are congruent bec they are corresponding angles.
3x = 5x - 32
-2x = -32
x = 16

m<PTS = 5x - 32 = 5(16) - 32 = 80 - 32 = 48

Angles PTS and PTU form a linear pair and are supplementary.

m<PTS + m<PTU = 180

48 + m<PTU = 180

m<PTU = 132

Problem 17.

Look at the angle in the right upper side of 89 deg.
Angle QTU also measures 89 deg since it is a corresponding angle tot eh 89-deg angle above.

Angle QTU and QTS are a linear pair and are supplementary, so angle QTS measures 91 deg.

We know from problem 16 that angle PTS measures 48 deg.

m<QTP = m<QTS - m<PTS = 91 - 48 = 43

Top right since it passes vertical line test