Point Q lies in the interior of <RST.
If m<RST=125 degrees, m<RSQ=4x-7, m <QST = 11x+12, then find x.
Since Q lies in the interior of <RST, the sum of the measures of <RSQ and <QST must be less than 125 degrees.
So, we have:
4x - 7 + 11x + 12 < 125
15x + 5 < 125
15x < 120
x < 120/15
x < 8
Therefore, x must be less than 8.