The measure of an angle is 48.8°. What is the measure of its complementary angle?
Understand the Problem
The question is asking for the measure of the complementary angle of a given angle, which is a basic geometry problem. The complementary angle can be found by subtracting the given angle from 90°.
Answer
The complementary angle is $C = 90^\circ - A$.
Answer for screen readers
The complementary angle is $C = 90^\circ - A$.
Steps to Solve
- Identify the Given Angle
First, identify the angle for which you need to find the complementary angle. Let's denote this angle as $A$.
- Use the Complementary Angle Formula
The formula to find the complementary angle of angle $A$ is given by: $$ C = 90^\circ - A $$ where $C$ represents the complementary angle.
- Calculate the Complementary Angle
Substitute the value of angle $A$ into the formula to calculate $C$.
- State the Result
Verify your result and state the measure of the complementary angle you calculated.
The complementary angle is $C = 90^\circ - A$.
More Information
The complementary angles add up to 90 degrees. Therefore, if angle $A$ is part of a right triangle, its complementary angle plays a vital role in determining the triangle's other angles.
Tips
- Confusing complementary angles with supplementary angles, which are angles that sum to 180 degrees.
- Forgetting to subtract the angle from 90 degrees correctly.
