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

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

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

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

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

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

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 ______

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

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)°.

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.

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.

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

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)

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

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

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