Question

problem 3 complementary angle

1. how do you know that the two indicated angles are complementary? what is their sum?
2. find the measure of 2x. show your steps

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to 90°.

Step2: Set up an equation

Let the unknown angle be \(x\). We know that \(x + 81^{\circ}=90^{\circ}\).

Step3: Solve for \(x\)

\(x=90^{\circ}-81^{\circ}\).
\(x = 9^{\circ}\).

Answer:

1. Complementary angles are two angles whose sum is 90°. We know this from the definition of complementary angles.
2. The measure of \(x\) is \(9^{\circ}\).