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Objectives Identify adjacent angle and linear pair. Identify and find measure of

Objectives Identify adjacent angle and linear pair. Identify and find measure of Complementary and supplementary angles. 3. Identify and find measure of vertical angles. Adjacent Angle &Linear Pair. Adjacent Angle &Linear Pair.

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Objectives Identify adjacent angle and linear pair. Identify and find measure of

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  1. Objectives • Identify adjacent angle and linear pair. • Identify and find measure of • Complementary and supplementary angles. • 3. Identify and find measure of vertical angles

  2. Adjacent Angle &Linear Pair

  3. Adjacent Angle &Linear Pair Example 1- Whether the indicated angles are only adjacent, are adjacent and form a linear pair, or are not adjacent.  5 and  4  1 and  4  2 and  3

  4. Adjacent Angle &Linear Pair You practice-Tell whether the indicated angles are only adjacent, are adjacent and form a linear pair, or are not adjacent.  1 and  2  1 and  3 • 2 and  4 • 2 and  3

  5. Complementary &Supplimentary

  6. Complementary &Supplimentary • Tell whether each pair of labeled angles is complementary, supplementary, or neither. • 4. 5.

  7. Complementary &Supplimentary • Find the measure of each of the following angles. 6. Complement of S _______ 7. Supplement of S _______ 8. Complement of R ______ 9. Supplement of R ______

  8. Example 3: Finding the Measures of Complements and Supplements Find the measure of each of the following. A. complement of F B. supplement of G HW

  9. You can find the complement of an angle that measures x° by subtracting its measure from 90°, or (90 – x)°. You can find the supplement of an angle that measures x° by subtracting its measure from 180°, or (180 – x)°.

  10. 5and 6are adjacent angles. Their noncommon sides, PT and PQ, are opposite rays, so 5and 6also form a linear pair. DO NOW Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 5 and 6

  11. DO NOW Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 7 and 8 7and 8have a common vertex, P, but do not have a common side. So 7and 8are not adjacent angles.

  12. Warm Up Simplify each expression. 1.90 –(x + 20) 2. 180 – (3x – 10) 70 –x 190 –3x

  13. Check It Out! Example 2 Find the measure of each of the following. a. complement of E (90– x)° 90°–(7x – 12)°=90°– 7x°+ 12° = (102 – 7x)° b. supplement of F (180– x) 180 – 116.5°=

  14. Vertical Angles

  15. Example 3: Identifying & Measuring Vertical Angles A. Name the pairs of vertical angles. HML and JMK are vertical angles. HMJ and LMK are vertical angles. B. If mHML = 55°, find mHMJ, mJMK, and mLMK

  16. HW: Pg 35, Ready to Go On

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