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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. - PowerPoint PPT Presentation
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Holt McDougal Geometry
1-4 Pairs of Angles
Objectives1.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 PairExample 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 PairYou 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 32 and 42 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.
• 4. 5.
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 UpSimplify each expression.
1. 90 – (x + 20)
2. 180 – (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
Words Drawing equation
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 mHML = 55°, find mHMJ, mJMK, and mLMK
Holt McDougal Geometry
1-4 Pairs of Angles
HW: Pg 35, Ready to Go On