FIND THE MEASURES OF THE COMPLEMENT AND THE SUPPLEMENT OF AN ANGLE WITH MEASURE 50.
The measure of the complement of the angle is 40 degrees and the measure of the supplement of the angle is 130 degrees.
To find the measures of the complement and the supplement of an angle with a measure of 50 degrees, we need to understand the concepts of complementary angles and supplementary angles.
1. Complementary angles: Two angles are said to be complementary when they add up to 90 degrees. So, to find the measure of the complement of an angle, subtract the angle's measure from 90 degrees.
Complement of the angle = 90 degrees - Measure of the angle
In this case, the complement of an angle with a measure of 50 degrees can be found as:
Complement = 90 degrees - 50 degrees
Complement = 40 degrees
Therefore, the complement of an angle with a measure of 50 degrees is 40 degrees.
2. Supplementary angles: Two angles are said to be supplementary when they add up to 180 degrees. So, to find the measure of the supplement of an angle, subtract the angle's measure from 180 degrees.
Supplement of the angle = 180 degrees - Measure of the angle
In this case, the supplement of an angle with a measure of 50 degrees can be found as:
Supplement = 180 degrees - 50 degrees
Supplement = 130 degrees
Therefore, the supplement of an angle with a measure of 50 degrees is 130 degrees.
To summarize:
- Complement of an angle with a measure of 50 degrees is 40 degrees.
- Supplement of an angle with a measure of 50 degrees is 130 degrees.
To find the measures of the complement and the supplement of an angle with a measure of 50 degrees, follow these steps:
1. The complement of an angle is the angle that, when added to the given angle, equals 90 degrees.
Complement = 90 degrees - Given angle
Complement = 90 degrees - 50 degrees
Complement = 40 degrees
Therefore, the complement of the angle with a measure of 50 degrees is 40 degrees.
2. The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees.
Supplement = 180 degrees - Given angle
Supplement = 180 degrees - 50 degrees
Supplement = 130 degrees
Therefore, the supplement of the angle with a measure of 50 degrees is 130 degrees.
In summary:
- The complement of the angle with a measure of 50 degrees is 40 degrees.
- The supplement of the angle with a measure of 50 degrees is 130 degrees.