1. Adjacent, vertical, complementary and supplementary angles
Mr. Peterson

2. CC standard 7.g.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simples equations for an unknown angle in a figure.
Paraphrase:
Identify adjacent and vertical angels.
Find angel measures using adjacent and vertical angles.
Classify pairs of angles as complementary, supplementary, or neither.
Find angle measures using complementary and supplementary angles.

3. Input
Vertex - Endpoint where two line segments or lines come together.
Adjacent angles – Angles that share a common side and have the same vertex.
Vertical angles – Opposite angles formed by the intersection of two lines.
Congruent angles – Angles that have the same measure.
Complementary angles – Two angles whose sum of their measure is 90°.
Supplementary angles - Two angles whose sum of their measure is 180°.

4. Angles that measure less than 90°. Acute - Angles that
Types of Angles
Angles
that measure
less than 90°.
Acute -
Angles that
measure more than 90°
and less than 180°.
Obtuse -
Right -
Angles
that measure
exactly 90°.
Straight -
Angles
that measure
exactly 180°.

5. Adjacent angles are “side by side” and share a common ray.
15º
45º

6. These are examples of adjacent angles.
45º
80º
35º
55º
130º
50º
85º
20º

7. These angles are NOT adjacent.
100º
50º
35º
35º
55º
45º

8. When 2 lines intersect, they make vertical angles.
75º
105º
105º
75º

9. Vertical angles are opposite one another.
75º
105º
105º
75º

10. Vertical angles are opposite one another.
75º
105º
105º
75º

11. Vertical angles are congruent (equal).
150º
30º
150º
30º

12. Supplementary angles add up to 180º.
40º
120º
60º
140º
Adjacent and Supplementary Angles
Supplementary Angles but not Adjacent

13. Complementary angles add up to 90º.
30º
40º
50º
60º
Adjacent and Complementary Angles
Complementary Angles but not Adjacent

14. Guided Practice Directions: Identify each pair of angles as vertical, supplementary, complementary, or none of the above.

15. #1
120º
60º

16. #1
120º
60º
Supplementary Angles

17. #2
60º
30º

18. #2
60º
30º
Complementary Angles

19. #3
75º
75º

20. #3
Vertical Angles
75º
75º

21. #4
60º
40º

22. #4
60º
40º
None of the above

23. #5
60º
60º

24. #5
60º
60º
Vertical Angles

25. #6
135º
45º

26. #6
135º
45º
Supplementary Angles

27. #7
25º
65º

28. #7
25º
65º
Complementary Angles

29. #8
90º
50º

30. #8
90º
50º
None of the above

31. Protractor work: Guided Practice
1. Draw a straight line. 10
170 20
160
150 30
140 40
130 50
120 60
110 70
100 80 90

32. Protractor work: Guided Practice
2. Draw a ray to form an angle of 40°from the right side. 10
170 20
160
150 30
140 40
130 50
120 60
110 70
100 80 90

33. Protractor work: Guided Practice
3. Find the measure of the angle supplementary to the angle you just created.
140°
40°

34. Protractor work: Guided Practice
4. Use a straightedge to extend the ray you drew to below the line.
140°
40°

35. Protractor work: Guided Practice
5. What is the measure of angle X?
140°
40° x y
40°
140°
Why?
Angle Y?
How did you find the answer?

36. Time for you to try some on your own