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Splash Screen. You measured line segments. (Lesson 1–2). Measure and classify angles. Identify and use congruent angles and the bisector of an angle. Then/Now. degree right angle acute angle obtuse angle angle bisector. ray. opposite rays angle side vertex interior exterior.

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  1. Splash Screen

  2. You measured line segments. (Lesson 1–2) • Measure and classify angles. • Identify and use congruent angles and the bisector of an angle. Then/Now

  3. degree • right angle • acute angle • obtuse angle • angle bisector • ray • opposite rays • angle • side • vertex • interior • exterior Vocabulary

  4. Answer: Angles and Their Parts A. Name all angles that have B as a vertex. Example 1

  5. Answer: Angles and Their Parts B.Name the sides of5. Example 1

  6. C. Angles and Their Parts Example 1

  7. A B C D A. B. C. D. A. Example 1a

  8. A B C D A. B. C. D. none of these B. Example 1b

  9. A B C D A. B. C. D. Which of the following is another name for 3? C. Example 1c

  10. Concept

  11. Measure and Classify Angles A. Measure TYV and classify it as right, acute, or obtuse. Answer:mTYV = 90, so TYV is a right angle. Example 2

  12. Measure and Classify Angles Example 2

  13. A B C D A.Measure CZD and classify it as right, acute, or obtuse. A. 30°, acute B. 30°, obtuse C. 150°, acute D. 150°, obtuse Example 2a

  14. A B C D B.Measure CZE and classify it as right, acute, or obtuse. A. 60°, acute B. 90°, acute C. 90°, right D. 90°, obtuse Example 2b

  15. Measure and Classify Angles Step 1 Solve for x. GBH  HCI Given mGBH  mHCI Definition of congruent angles 2x + 5 = 3x – 10 Substitution 2x + 15 = 3x Add 10 to each side. 15 = x Subtract 2x from each side. Example 3

  16. . Measure and Classify Angles Step 2 Use the value of x to find the measure of either angle. Answer:mGBH = 35, mHCI = 35 Example 3

  17. A B C D Find mBHC and mDJE if BHC  DJE, mBHC = 4x + 5, and mDJE = 3x + 30. A.mBHC = 105, mDJE = 105 B.mBHC = 35, mDJE = 35 C.mBHC = 35, mDJE = 105 D.mBHC = 105, mDJE = 35 Example 3

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