1 / 24

Unit 1 Describe Angle Pair Relationships

Unit 1 Describe Angle Pair Relationships. Adjacent angles:. Two angles that share a common side and vertex. 2. 1. 1 is adjacent to 2. Complementary Angles:. Two angles that add to 90 °. 1. 2. 1. 2. m 1 + m 2 = 90 °. Supplementary Angles:. Two angles that add to 180 °. 2. 1.

cardenasc
Download Presentation

Unit 1 Describe Angle Pair Relationships

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit 1 Describe Angle Pair Relationships

  2. Adjacent angles: Two angles that share a common side and vertex 2 1 1 is adjacent to 2

  3. Complementary Angles: Two angles that add to 90° 1 2 1 2 m1 + m2 = 90°

  4. Supplementary Angles: Two angles that add to 180° 2 1 1 m1 + m2 = 180° 2

  5. Two adjacent angles whose noncommon sides are opposite rays Linear Pair: 2 1 They will always add to 180° m1 + m2 = 180°

  6. Vertical Angles: Two angles whose sides form two pairs of opposite rays 1 2 They will always be congruent!

  7. 1. Tell whether the indicated angles are adjacent. EFG and HGF no

  8. 1. Tell whether the indicated angles are adjacent. JNM and MNK yes

  9. 2. Name a pair of complementary angles, supplementary angles, and vertical angles . Vertical: ROL  NOP L LOM  QOP M Complementary: R N mQOR + mROL = 90 O mMON + mNOP = 90 Q P Supplementary: mROL + mLON = 180 mROM + mMON = 180 mQOL + mLOM = 180

  10. 2. Name a pair of complementary angles, supplementary angles, and vertical angles . Vertical: DGE  BGC A EGB  DGC E Complementary: mDGE + mEGA = 90 G B D Supplementary: C mDGE + mEGB = 180 mDGA + mAGB = 180 mEGA + mAGC = 180

  11. 3. 1 and 2 are complementary angles. Given the measure of 1, find m2. m1 = 82° m2 = 90 – 82 = 8°

  12. 3. 1 and 2 are complementary angles. Given the measure of 1, find m2. m1 = 23° m2 = 90 – 23 = 67°

  13. 4. 1 and 2 are supplementary angles. Given the measure of 1, find m2. m1 = 82° m2 = 180 – 82 = 98°

  14. 4. 1 and 2 are supplementary angles. Given the measure of 1, find m2. m1 = 105° m2 = 180 – 105 = 75°

  15. 5. Find the measure of ABD and DBC. 4x + 6 + 11x – 6 = 180 15x = 180 x = 12 4(12)+6 mABD = = 48+6 = 54° 11(12)-6 mDBC = = 132-6 = 126°

  16. 5. Find the measure of ABD and DBC. 2x + 3x = 90 5x = 90 x = 18 2(18) mABD = = 36° 3(18) mDBC = = 54°

  17. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 1 and 2 Linear pair

  18. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 1 and 3 Vertical angles

  19. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 2 and 4 Vertical angles

  20. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 5 and 7 neither

  21. 6. Use the diagram below. Tell whether the angles are vertical angles, linear pair, or neither. 5 and 8 neither

  22. 7. Find the values of x and y. 6x – 11 + 2x – 9 = 180 8x – 20 = 180 8x = 200 x = 25° 20y + 19 + 2x – 9 = 180 20y + 19 + 2(25) – 9 = 180 20y + 60 = 180 20y = 120 y = 6°

  23. 7. Find the values of x and y. 21x – 3 + 5x + 1 = 180 26x – 2 = 180 26x = 182 x = 7° 4y + 17y – 9 = 180 21y – 9 = 180 21y = 189 y = 9°

  24. HW Problem # 50 Vertical angles Ans: ex: AGB & EGD

More Related