If the measure of one angle is $84°$, what is the measure of its complementary angle?

• A. $6°$
• B. $42°$
• C. $96°$
• D. $168°$

Answer: (A)

Verified step by step guidance

1. Recall that complementary angles are two angles whose measures add up to 90 degrees.
2. Let the measure of the given angle be \$84^\circ\( and the measure of its complementary angle be \)x$ degrees.
3. Set up the equation based on the definition of complementary angles: \$84 + x = 90$.
4. Solve for \(x\) by subtracting 84 from both sides: \(x = 90 - 84\).
5. Simplify the expression to find the measure of the complementary angle.