Final answer:
To find the supplementary angle of a given angle, subtract the given angle from 180. In the given options, the supplementary angles are: a. 175 degrees, b. 90 degrees, c. 1 degree, d. 61 degrees, e. 120 degrees, f. 0 degrees.
Step-by-step explanation:
Supplementary angles are two angles that add up to 180 degrees. To find the supplementary angle of a given angle, you subtract the given angle from 180.
For example, if the given angle is 60 degrees, the supplementary angle would be 180 - 60 = 120 degrees.
In the question, you have options from a to f. You need to subtract each given angle from 180 to find the supplementary angle for each option.
Let's go through the options:
- a. 180 - a = 180 - 5 = 175 degrees
- b. 180 - b = 180 - 180/2 = 180 - 90 = 90 degrees
- c. 180 - c = 180 - 179 = 1 degree
- d. 180 - d = 180 - 179 + a = 1 + 60 = 61 degrees
- e. 180 - e = 180 - 60 = 120 degrees
- f. 180 - f = 180 - π (pi) = 180 - 180 = 0 degrees
So, the supplementary angles for each option are:
- a. 175 degrees
- b. 90 degrees
- c. 1 degree
- d. 61 degrees
- e. 120 degrees
- f. 0 degrees