Question
If two angles are a linear pair, they are (choose all that apply)
Adjacent
never congruent
always congruent
Supplementary
Answers
GPT-4o mini
If two angles are a linear pair, they are:
- **Adjacent**: Yes, by definition, linear pair angles share a common vertex and side, and do not overlap.
- **Supplementary**: Yes, the angles in a linear pair always add up to 180 degrees, making them supplementary.
They are not:
- **Always congruent**: This is incorrect because the angles can be different measurements.
- **Never congruent**: This is also incorrect because it is possible for the two angles to be congruent (e.g., each measuring 90 degrees).
So, the correct options are **Adjacent** and **Supplementary**.
- **Adjacent**: Yes, by definition, linear pair angles share a common vertex and side, and do not overlap.
- **Supplementary**: Yes, the angles in a linear pair always add up to 180 degrees, making them supplementary.
They are not:
- **Always congruent**: This is incorrect because the angles can be different measurements.
- **Never congruent**: This is also incorrect because it is possible for the two angles to be congruent (e.g., each measuring 90 degrees).
So, the correct options are **Adjacent** and **Supplementary**.