from the question;
From the figure, we are to find m
First we need to sum all the angles in the triangle
[tex]\begin{gathered} 11x\text{ -5 + 6x + 5 + x = 180 (Sum of angle in a triangle)} \\ 18x\text{ = 180} \\ \text{divide both sides by 18} \\ x\text{ = }\frac{180}{18} \\ x\text{ = 10} \end{gathered}[/tex]
Hence,
[tex]\begin{gathered} m\angle Q\text{ = 11x - 5} \\ m\angle Q\text{ = 11(10) - 5} \\ m\angle Q\text{ = 110 - 5} \\ m\angle Q=105^{\circ} \end{gathered}[/tex]
Therefore,
measure of angle Q = 105 degrees
