Angle P is the complementary angle of an angle measuring 65º. This means that angle P + 65º = 90º (since complementary angles add up to 90º).
To find the measure of angle Q, we can use the fact that angles P and Q are vertical angles. Vertical angles are always congruent, which means they have the same measure.
Since angle P measures 25º (90º - 65º), angle Q, being vertical to angle P, will also measure 25º.
Therefore, the measure of angle Q is 25º.