Question

If ∠ DEF and∠ PRS are complementary, what is the measure of∠ PRS if ∠DEF is 78?

Answer 1

∠PRS = 12°.

Explanation:

We are asked what is the measurement of ∠PRS if ∠DEF = 78°.

We are given that ∠PRS and ∠DEF are complementary angles.

What are Complementary Angles?

Complementary Angles are 2 angles that add up to 90°. Both combined together will form a right angle.

Now, we should know that ∠PRS + ∠DEF = 90°.

Let's begin by substituting in the given measurement of ∠DEF.

Substitute:

∠PRS + 78° = 90°

Simplify:

∠PRS = 12°.