Adjacent angles are _______ congruent.
A. always
B. sometimes
C. never
D. none of these
Thank you @Henry2, this really helped
Answer: B.
The correct answer is B. sometimes.
Adjacent angles are angles that have a common vertex and a common side. While adjacent angles are not always congruent, they can be congruent in certain cases. For example, if two adjacent angles are formed by two intersecting lines, then they will be congruent. However, if they are formed by two parallel lines, then they will not be congruent. Therefore, adjacent angles can be congruent in some situations but not always.
To determine whether adjacent angles are congruent, we need to understand what "adjacent angles" means. Adjacent angles are two angles that share a common vertex and a common side but do not overlap.
When it comes to congruence, it means that two angles have the same measure. In other words, their degrees or radians are equal.
Now, let's consider the given options:
A. "Always" - This implies that adjacent angles are always congruent. To verify this, we can draw two adjacent angles and measure their angles using a protractor. If they always have the same measure, then the statement is true. Conversely, if we find even a single instance where the adjacent angles have different measures, then this option is false.
B. "Sometimes" - This suggests that adjacent angles can be congruent in some cases but not always. Similarly, we would need to examine several examples to determine if this option is accurate or not.
C. "Never" - This means that adjacent angles can never be congruent. Similarly, we would need to analyze several examples to ascertain if adjacent angles are never congruent.
D. "None of these" - This option implies that none of the given options (A, B, or C) accurately describe whether adjacent angles are congruent.
To get the correct answer, we need to examine multiple examples of adjacent angles and measure their angles to determine if they always, sometimes, or never have the same measure.