Question
Determine whether the two angle measurements can be supplementary if measure of angle A = 37 degrees and measure of angle B is 143 degrees. What is the reasoning behind the answer?
a. no they do not add up to 180 degrees
b. yes they are a supplementary pair
c. no they do not add up to 90 degrees
d. no they are not adjacent
a. no they do not add up to 180 degrees
b. yes they are a supplementary pair
c. no they do not add up to 90 degrees
d. no they are not adjacent
Answers
GPT-4o mini
To determine if angles A and B are supplementary, we need to check if their measurements add up to 180 degrees.
Given:
- Measure of angle A = 37 degrees
- Measure of angle B = 143 degrees
Now, we add the two angles together:
\( 37 + 143 = 180 \) degrees
Since the sum of angles A and B is exactly 180 degrees, the correct answer is:
**b. yes they are a supplementary pair**
The reasoning is that supplementary angles are defined as two angles whose measures add up to 180 degrees. Since this condition is satisfied, angle A and angle B can indeed be considered supplementary.
Given:
- Measure of angle A = 37 degrees
- Measure of angle B = 143 degrees
Now, we add the two angles together:
\( 37 + 143 = 180 \) degrees
Since the sum of angles A and B is exactly 180 degrees, the correct answer is:
**b. yes they are a supplementary pair**
The reasoning is that supplementary angles are defined as two angles whose measures add up to 180 degrees. Since this condition is satisfied, angle A and angle B can indeed be considered supplementary.