Answer: 112
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Step-by-step explanation:
Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.
Add up the minor arcs
to get: 44+100+80 = 224
This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.
angle QZT = (arc TUQ)/2
angle QZT = 224/2
angle QZT = 112 degrees