Question

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

Answer 1

x = 3

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