Question

Name the relationship: complementary, supplementary, vertical or adjacent.

Answer 1

Answers:

1. Complementary
2. Vertical
3. Adjacent
4. Supplementary
5. b = 29
6. b = 38

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Step-by-step explanation:

1. Complementary angles add to 90 degrees, as shown by the square marker.
2. Vertical angles form when we have two lines cross to create an X shape. Vertical angles are opposite one another and always congruent.
3. Adjacent angles are right next to each other. They share a common segment. Think of them as neighbors that share a common apartment wall. The angles in problem 1 are also adjacent, but I think "complementary" is more descriptive if you can only pick one term.
4. Supplementary angles add to 180. They form a straight line. These angles are also adjacent, but I think supplementary fits better if you can only pick one term.
5. The equation to solve is b+151 = 180. Subtract 151 from both sides to get b = 29. The equation works because the angles are supplementary.
6. You need to solve b+142 = 180. You should get b = 38 after subtracting 142 from both sides.

Answer 2

1. Complementary

2. Vertical

3. Adjacent

4. Supplementary

5. 29

6. 32

Step-by-step explanation:

Hope this helped