The relationship of the given angles are:
1. A. Adjacent
2. B. vertical
3. B. vertical
4. E. linear pair
5. C. complementary
6. D. supplementary
7. C. complementary
8. A. adjacent
9. A. adjacent
10. D. supplementary
11. A. adjacent
12. C. complementary.
<h3>How to Determine the Relationship Between Angles?</h3>
Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.
1. Angles 2 and 3 share a common vertex and a common side, therefore:
<2 and <3 are: A> Adjacent
2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:
<3 and <4 are: B. vertical
3. <1 and <3 are: B. vertical
4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair
5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary
6. 123 + 57 = 180. Therefore, they are: D. supplementary
7. Angles a and b form a right angle. Therefore, they are: C. complementary
8. <1 and <2 are: adjacent
9. <3 and <4 are: A. adjacent
10. 90 + 90 = 180, therefore, the angles are: D. supplementary
11. Both angles are: A. adjacent
12. 40 + 50 = 90 degrees. Therefore, the angles are: C. complementary.
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