Answer:
y = 23 , ∠ S = 135° , ∠ T = 45° are correct
Explanation:
the opposite angles of a parallelogram are congruent , then
6x - 9 = 4x + 39 ( subtract 4x from both sides )
2x - 9 = 39 ( add 9 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ≠ 15
and
3y - x = 2y - 1 , that is
3y - 24 = 2y - 1 ( subtract 2y from both sides )
y - 24 = - 1 ( add 24 to both sides )
y = 23 ← is correct
∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45° ≠ 27°
∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct
∠ T = ∠ R = 45° ← is correct
∠ U = ∠ S = 135° ≠ 99°