Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement.
55.1°
(1 point)
124.9°
119.9°
49.9°
no complement or supplement
the complement of 55.1° is 34.9°
the supplement of 55.1° is 124.9°
I cannot comprehend your answer.
To find the measure of the complement or supplement of an angle, we need to understand the definitions:
Complementary angles are two angles that add up to 90 degrees.
Supplementary angles are two angles that add up to 180 degrees.
Now, let's determine the complement or supplement of each given angle:
55.1°:
- Complement: The complement of an angle that measures 55.1° would be 90° - 55.1° = 34.9°.
- Supplement: The supplement of an angle that measures 55.1° would be 180° - 55.1° = 124.9°.
Hence, for 55.1°:
- Complement: 34.9°
- Supplement: 124.9°
124.9°:
- Complement: The complement of an angle that measures 124.9° would be 90° - 124.9° = -34.9°.
Since the complement is a negative value, it does not exist.
- Supplement: The supplement of an angle that measures 124.9° would be 180° - 124.9° = 55.1°.
Hence, for 124.9°:
- Complement: No complement.
- Supplement: 55.1°
In conclusion:
- The complement of 55.1° is 34.9°.
- The supplement of 55.1° is 124.9°.
- There is no complement for 124.9°.
- The supplement of 124.9° is 55.1°.
To determine the complement or supplement of an angle, we need to understand their definitions.
1. Complement of an angle: The complement of an angle is another angle that, when added to the given angle, results in a sum of 90 degrees.
2. Supplement of an angle: The supplement of an angle is another angle that, when added to the given angle, results in a sum of 180 degrees.
Let's evaluate each given angle:
1. 55.1°:
To find the complement, subtract the given angle from 90°:
90° - 55.1° = 34.9°
To find the supplement, subtract the given angle from 180°:
180° - 55.1° = 124.9°
So, the complement of 55.1° is 34.9°, and the supplement is 124.9°.
2. 124.9°:
To find the complement, subtract the given angle from 90°:
90° - 124.9° = -34.9°
To find the supplement, subtract the given angle from 180°:
180° - 124.9° = 55.1°
So, the complement of 124.9° is -34.9°, and the supplement is 55.1°.
Regarding the options provided:
- The complement of 55.1° is not 119.9° or 49.9°.
- The supplement of 55.1° is not 119.9° or 49.9°.
- The complement of 124.9° is not 119.9° or 49.9°.
Therefore, the complement of 55.1° is 34.9°, the supplement is 124.9°, and there is no complement or supplement for 124.9°.