Point Q lines in the interior of <RST

If m<RST = 125 degrees, m<RSQ = 4x - 7, m<QST = 11x + 12, then find x

Since Q lines in the interior of <RST, then the sum of m<RSQ and m<QST is less than m<RST.

m<RSQ + m<QST < m<RST
(4x - 7) + (11x + 12) < 125
15x + 5 < 125
15x < 120
x < 8

Thus, x is less than 8.

a) x = 5

b) x = 8
c) x = 6
d) x = 4

The correct answer is a) x = 5.