Objectives

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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

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Adjacent Angle Linear Pair
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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

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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

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Complementary Supplimentary
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Complementary Supplimentary

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

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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 ______
•  

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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
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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).
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DO NOW
Tell whether the angles are only adjacent,
adjacent and form a linear pair, or not adjacent.
?5 and ?6
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DO NOW
Tell whether the angles are only adjacent,
adjacent and form a linear pair, or not adjacent.
?7 and ?8
?7 and ?8 have a common vertex, P, but do not
have a common side. So ?7 and ?8 are not adjacent
angles.
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Warm Up Simplify each expression. 1. 90 (x
20) 2. 180 (3x 10)
70 x
190 3x
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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
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Vertical Angles
Words Drawing equation
Two non-adjacent angles formed by two intercepting lines.        
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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
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HW Pg 35, Ready to Go On