Answer:
m∠Q = 105°
Explanation:
The three angles of a triangle should add up to 180°
Plugging in the expressions for the three angles in the image:
(6x + 5) + (11x - 5) + x = 180
Expand brackets
6x + 5 + 11x - 5 + x = 180
Group like terms:
6x + 11x + x + 5 -5 = 180
18x = 180
x = 180/18
x = 10
m∠Q = 11x - 5
= 11 x 10 - 5
= 110 - 5
= 105°