Since the angles ∠P and ∠Q are complementary, then:

Since ∠P is 40º greater than ∠Q, then:

Replace this expression for ∠P in the first equation and solve for ∠Q:

Since ∠P is 40º greater than ∠Q, then ∠P=65º.
Therefore, the measures of the angles ∠P and ∠Q are:
