1 / 22

7-3

7-3. Angle Relationships. Course 1. Warm Up. Problem of the Day. Lesson Presentation. 7-3. Angle Relationships. Course 1. Warm Up Identify the type of angle. 1. 70° 2. 90° 3. 140° 4. 180°. acute. right. obtuse. straight. 7-3. Angle Relationships. Course 1.

bien
Download Presentation

7-3

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. 7-3 Angle Relationships Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 7-3 Angle Relationships Course 1 Warm Up Identify the type of angle. 1.70° 2. 90° 3. 140° 4. 180° acute right obtuse straight

  3. 7-3 Angle Relationships Course 1 Problem of the Day A line forms an angle of 57° with the vertical axis. What angle does the line form with the horizontal axis? 33° or 147°

  4. 7-3 Angle Relationships Course 1 Learn to understand relationships of angles.

  5. 7-3 Angle Relationships Course 1 Insert Lesson Title Here Vocabulary congruent vertical angles adjacent angles complementary angles supplementary angles

  6. 7-3 Angle Relationships M N 160° 20° 20° R 160° Q P MRP and NRQ are vertical angles. MRN and PRQ are vertical angles Course 1 When angles have the same measure, they are said to be congruent. Vertical angles are formed opposite each other when two lines intersect. Vertical angles have the same measure, so they are always congruent.

  7. 7-3 Angle Relationships M N 160° 20° 20° R 160° Q P MRN and NRQ are adjacent angles. They share vertex R and RN. NRQ and QRP are adjacent angles. They share vertex R and RQ. Course 1 Adjacent angles are side by side and have a common vertex and ray. Adjacent angles may or may not be congruent.

  8. 7-3 Angle Relationships 5 and 6 are opposite each other and are formed by two intersecting lines. Course 1 Additional Example 1A: Identifying Types of Angle Pairs Identify the type of each angle pair shown. A. 5 6 They are vertical angles.

  9. 7-3 Angle Relationships 7 and 8 are side by side and have a common vertex and ray. Course 1 Additional Example 1B: Identifying Types of Angle Pairs Identify the type of each angle pair shown. B. 7 8 They are adjacent angles.

  10. 7-3 Angle Relationships 3 and 4 are side by side and have a common vertex and ray. Course 1 Try This: Additional Example 1A Identify the type of each angle pair shown. A. 3 4 They are adjacent angles.

  11. 7-3 Angle Relationships 7 and 8 are opposite each other and are formed by two intersecting lines. Course 1 Try This: Additional Example 1B Identify the type of each angle pair shown. B. 7 8 They are vertical angles.

  12. 7-3 Angle Relationships 65° + 25° = 90° LMN and NMP are complementary. L N 65° 25° M P Course 1 Complementary angles are two angles whose measures have a sum of 90°.

  13. 7-3 Angle Relationships 65° + 115° = 180° GHK and KHJ are supplementary. K 65° 115° G J H Course 1 Supplementary angles are two angles whose measures have a sum of 180°.

  14. 7-3 Angle Relationships Course 1 Additional Example 1A: Identifying an Unknown Angle Measure Find each unknown angle measure. A. The angles are complementary. The sum of the measures is 90°. 71° + a = 90° a –71°–71° a = 19° 71°

  15. 7-3 Angle Relationships Course 1 Additional Example 1B: Identifying an Unknown Angle Measure Find each unknown angle measure. B. The angles are supplementary. 125° + b = 180° The sum of the measures is 180°. –125°–125° b = 55° 125° b

  16. 7-3 Angle Relationships Course 1 Additional Example 1C: Identifying an Unknown Angle Measure Find each unknown angle measure. C. The angles are vertical angles. c 82° c = 82° Vertical angles are congruent.

  17. 7-3 Angle Relationships M L 80° x y J K N Course 1 Additional Example 1D: Identifying an Unknown Angle Measure Find each unknown angle measure. D. JKL and MKN are congruent. x + y + 80° = 180° The sum of the measures is 180°. –80°–80° x + y = 100° Each angle measures half of 100°. x = 50° and y = 50°

  18. 7-3 Angle Relationships Course 1 Try This: Example 1A Find each unknown angle measure. A. The angles are complementary. 65° + d = 90° The sum of the measures is 90°. d –65°–65° d = 25° 65°

  19. 7-3 Angle Relationships Course 1 Try This: Example 1B Find each unknown angle measure. B. The angles are supplementary. 145° + s = 180° The sum of the measures is 180°. –145°–145° s = 35° 145° s

  20. 7-3 Angle Relationships Course 1 Try This: Example 1C Find each unknown angle measure. C. The angles are vertical angles. t t = 32° Vertical angles are congruent. 32°

  21. 7-3 Angle Relationships C D 50° x y A B E Course 1 Try This: Example 1D Find each unknown angle measure. D. ABC and DBE are congruent. x + y + 50° = 180° The sum of the measures is 180°. –50°–50° x + y = 130° Each angle measures half of 130°. x = 65° and y = 65°

  22. 7-3 Angle Relationships Course 1 Insert Lesson Title Here Lesson Quiz Give the complement of each angle. 1. 70° 2. 42° Give the supplement of each angle. 3. 120° 4. 17° 5. Identify the type of angle pair shown. 20° 48° 60° 163° adjacent

More Related