Question
The measure of an angle is \( 60.1^{\circ} \). What is the measure of its complementary angle?
Ask by Willis Patel. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The complementary angle is \( 29.9^\circ \).
Solution
1. Let \( x \) be the measure of the complementary angle.
2. Since complementary angles sum up to \( 90^\circ \), we write:
\[
x + 60.1^\circ = 90^\circ
\]
3. Solving for \( x \), we have:
\[
x = 90^\circ - 60.1^\circ = 29.9^\circ
\]
Thus, the measure of the complementary angle is \( 29.9^\circ \).
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Simplify this solution Mind Expander
To find the measure of the complementary angle, you simply subtract the given angle from \(90^{\circ}\). So, \(90^{\circ} - 60.1^{\circ} = 29.9^{\circ}\). Therefore, the measure of the complementary angle is \(29.9^{\circ}\). Now, here's a fun fact: complementary angles can be found in all sorts of real-life situations! For example, if you have a corner room in your house, the angle between the two walls meets at \(90^{\circ}\), meaning that any angle formed by furniture against those walls can have a complementary angle. So next time you're decorating, think about those angles!
