Question

If ∠P and ∠Q are complementary angles and ∠Q is 66°, what is the measure of ∠P?

Answer 1

the total angles of P and Q equals to 90°
So if angle Q equals 66°
then angle P equals 90°-66°=24°

Answer 2

Answer: If ∠P and ∠Q are complementary angles, that means they add up to 90°. If we know that ∠Q is 66°, we can use that information to find ∠P.

We can start by using the fact that ∠P and ∠Q are complementary to write an equation:

∠P + ∠Q = 90°

We know that ∠Q is 66°, so we can substitute that into the equation:

∠P + 66° = 90°

Now we can solve for ∠P by subtracting 66° from both sides of the equation:

∠P = 90° - 66°

∠P = 24°

So the measure of ∠P is 24°.