Hey, I just wanted you toall check my answer and see if it is correct. Here it is:
6. The measure of angle B is 65.8 degrees. Find the measure of the complement and supplement of angle B.
- 24.2 degrees; 155.8 degrees
- 155.8 degrees; 24.2 degrees
-144.2 degrees; 24.2 degrees
- 24.2 degrees; 144.2 degrees **** < My Answer
Plz respond as soon as you can tonight. Ty for your time. :)
There must be a typo. None of these answers is right.
ignore the leading dashes.
I suspect one of the angles should be 114.2, not 144.2
To find the complement and supplement of an angle, we need to understand their definitions.
The complement of an angle is the angle that, when added to the given angle, equals 90 degrees. It is found by subtracting the measure of the given angle from 90 degrees.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. It is found by subtracting the measure of the given angle from 180 degrees.
Let's apply this to the given problem. We are told that the measure of angle B is 65.8 degrees. To find the complement, we subtract the measure of angle B from 90 degrees:
90 degrees - 65.8 degrees = 24.2 degrees.
Thus, the complement of angle B is 24.2 degrees.
To find the supplement, we subtract the measure of angle B from 180 degrees:
180 degrees - 65.8 degrees = 114.2 degrees.
Thus, the supplement of angle B is 114.2 degrees.
From the given options, it looks like you have selected the correct answer: the complement of angle B is 24.2 degrees and the supplement is 114.2 degrees.
Therefore, your answer "24.2 degrees; 144.2 degrees" is incorrect. The correct answer is "24.2 degrees; 114.2 degrees" which matches the option you marked.