Answer:
Step-by-step explanation:
ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.
TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.
ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.
YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.
YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.
YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.
