How to find the complement and supplement of an angle?
Understand the Problem
The question is asking for methods to calculate the complement and supplement of a given angle. The complement of an angle is found by subtracting the angle from 90 degrees, while the supplement is found by subtracting the angle from 180 degrees.
Answer
To find the complement of an angle, subtract the angle from 90 degrees. To find the supplement of an angle, subtract the angle from 180 degrees.
Answer for screen readers
To find the complement of an angle, subtract the angle from 90 degrees. To find the supplement of an angle, subtract the angle from 180 degrees.
Steps to Solve
- Find the Complement of an Angle
To find the complement of an angle, subtract the given angle from 90 degrees:
$$\text{Complement of angle} = 90^\circ - \text{given angle}$$
- Find the Supplement of an Angle
To find the supplement of an angle, subtract the given angle from 180 degrees:
$$\text{Supplement of angle} = 180^\circ - \text{given angle}$$
To find the complement of an angle, subtract the angle from 90 degrees. To find the supplement of an angle, subtract the angle from 180 degrees.
More Information
In geometry, complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. This concept is widely used in geometry and trigonometry.
Tips
A common mistake is to confuse the two: complement angles up to 90 degrees and supplement angles up to 180 degrees.
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