Angle Pairs

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# Angle Pairs

## Angle Pairs

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##### Presentation Transcript

1. Angle Pairs

2. Vertical Angles • Two angles formed by intersecting lines and have no sides in common. • Are congruent.

3. Vertical Angles

4. Supplementary Angles • Two angles sharing one side that add up to exactly 180°

5. Supplementary Angles

6. Complementary Angles • Two angles, sharing one side that add up to exactly 90°

7. Complementary Angles

8. Adjacent Angles • Adjacent angles share a common vertex and one common side.

11. Supplementary vs. ComplementaryHow do I remember? • The way I remember is this: • C comes before S in the alphabet. • 90 comes before 180 when I count. • Complementary is 90, Supplementary is 180.

12. Guess Who? • I am an angle.

13. Guess Who? • I am an angle. • I have 180°

14. Guess Who? • I am an angle. • I have 180° • I look like this:

15. Guess Who? • I am an angle. • I have 180° • I look like this: Supplementary Complementary

16. Guess Who? • I am two adjacent angles.

17. Guess Who? • I am two adjacent angles. • I look like an “L” with a line in the middle.

18. Guess Who? • I am two adjacent angles. • I look like an “L” with a line in the middle. • I add up to 90° • I look like this:

19. Guess Who? • I am two adjacent angles. • I look like an “L” with a line in the middle. • I add up to 90° • I look like this: Complementary Supplementary

20. Guess Who? Complementary Supplementary

21. Guess Who? Complementary Supplementary

22. Review • Complementary angles are…….

23. Review • Supplementary Angles are…..

24. Supplementary Angles

25. Vertical Angles are…….

26. Vertical Angles

29. Find the missing angle I know that these angles are complementary. They must add up to 90° So…… 90 – 55 = 35 The missing angle is 35 55 x

30. You try. Are they supplementary or complementary? Find the missing side. x 20

31. You try. Are they supplementary or complementary? complementary Find the missing side. 90 – 20 = 70 The missing angle Is 70 x 20

32. One More 50 x

33. Find the missing angle 120 x I know these are supplementary angles. Supplementary angles add up to 180. The given angle is 120. So….. 180 – 120 = 60 The missing angle is 60

34. Find the missing angle 130 x What kind of angles? What’s the missing angle?

35. Find the missing angle 130 x What kind of angles? Supplementary What’s the missing angle? Adds up to 180, so….. 180 – 130 = 50

36. Find the missing angle x 30 Do this one on your own.

37. Right

38. Wrong