∠PTS is equal to ∠RTQ because of the Theorem of Vertical Angles.
Using substitution we get 11(y - 10) = 4y - 5
Solve for x.
11(y - 10) = 4y - 5
11y - 110 = 4y - 5 <-- Distribute the 11
7y - 110 = -5 <-- Subtract 4y from each side
7y = 105 <-- Add 110 to each side
y = 15 <-- Divide both sides by 7
Now that we have the value of y, substitute it back into the equation.
11(15 - 10) = 11 * 5 = 55
So, the answer is 55 degrees.