1. Holt McDougal Geometry 1-4 Pairs of Angles Objectives 1.Identify adjacent angle and linear pair. 2.Identify and find measure of Complementary and supplementary angles. 3. Identify and find measure of vertical angles

2. Holt McDougal Geometry 1-4 Pairs of Angles Adjacent Angle &Linear Pair

3. Holt McDougal Geometry 1-4 Pairs of Angles 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. Holt McDougal Geometry 1-4 Pairs of Angles 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. Holt McDougal Geometry 1-4 Pairs of Angles Complementary &Supplimentary

6. Holt McDougal Geometry 1-4 Pairs of Angles Complementary &Supplimentary Tell whether each pair of labeled angles is complementary, supplementary, or neither. 4. 5.

7. Holt McDougal Geometry 1-4 Pairs of Angles 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. Holt McDougal Geometry 1-4 Pairs of Angles Find the measure of each of the following. Example 3: Finding the Measures of Complements and Supplements A. complement of F B. supplement of G HW

9. Holt McDougal Geometry 1-4 Pairs of Angles 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. Holt McDougal Geometry 1-4 Pairs of Angles DO NOW 5 and 6 Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 5 and 6 are adjacent angles. Their noncommon sides, PT and PQ, are opposite rays, so 5 and 6 also form a linear pair.

11. Holt McDougal Geometry 1-4 Pairs of Angles DO NOW 7 and 8 Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 7 and 8 have a common vertex, P, but do not have a common side. So 7 and 8 are not adjacent angles.

12. Holt McDougal Geometry 1-4 Pairs of Angles Warm Up Simplify each expression. 1. 90 – (x + 20) 2. 180 – (3x – 10) 70 – x 190 – 3x

13. Holt McDougal Geometry 1-4 Pairs of Angles Check It Out! Example 2 a. complement of E Find the measure of each of the following. b. supplement of F = (102 – 7x)° 180 – 116.5° = 90° – (7x – 12)° = 90° – 7x° + 12° (90 – x)° (180 – x)

14. Holt McDougal Geometry 1-4 Pairs of Angles WordsDrawingequation Two non-adjacent angles formed by two intercepting lines. Vertical Angles

15. Holt McDougal Geometry 1-4 Pairs of Angles 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. Holt McDougal Geometry 1-4 Pairs of Angles HW: Pg 35, Ready to Go On