1.
Find x if mZTUV = 163º, mZJUV = 35x,
and mZTUJ = 18x + 4.
T

Answer:
x = 3
Step-by-step explanation:
By the angle sum theorem, ...
∠TUJ +∠JUV = ∠TUV
(18x +4) +(35x) = 163 . . . . . . . all angle measures in degrees
53x = 159 . . . . . . . . . . . . . . subtract 4, collect terms
x = 3 . . . . . . . . . divide by 53