Download SB Geom 1-5 Completed.notebook

SB Geom 1­5 Completed.notebook
September 13, 2012
Lesson 1­5 Describe Angle Pair Relationships
complementary angles ­ two angles with a sum of 90o
­ one angle is the complement of the other
supplementary angles ­ two angles with a sum of 180o
­ one angle is the supplement of the other
adjacent angles ­ two angles that share a common vertex and side, but have no common interior points
Aug 24­6:40 PM
Example 1. In the figure, name a pair of complementary angles, supplementary angles, and adjacent angles. 1. In the figure, name a pair of complementary angles, supplementary angles, and adjacent angles. 2. Are <KGH and <LKG adjacent angles? Are <FGK and <FGH adjacent angels? Explain.
Aug 24­7:05 PM
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SB Geom 1­5 Completed.notebook
September 13, 2012
Example 2.
a. Given that <1 is a compliment of <2 and m<1 = 68 o, find m<2.
b. Given that <3 is a supplement of <4 and <3 = 56 o, find m<4.
Example 3. Find m<BCE and m<ECD.
Aug 24­7:29 PM
3. Given that <1 is a compliment of <2 and m<2 = 8 o, find m<1.
4. Given that <3 is a supplement of <4 and <3 = 117 o, find m<4.
5. <LMN and <PQR are complementary angles. Find the measures of the angles if m<LMN = (4x ­ 2) and m<PQR = (9x + 1).
linear pair ­ two adjacent angles whose non common sides are opposite rays
vertical angles ­ two angles whose sides form opposite rays
Aug 24­7:33 PM
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SB Geom 1­5 Completed.notebook
September 13, 2012
Example 4. Identify all of the linear pairs and all of the vertical angles.
Example 5. Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle.
6. Do any of the numbered angles in the diagram at the right form a linear pair? Which angles are vertical angles? Explain.
7. The measure of an angle is twice the measure of its complement. Find the measure of each angle.
Aug 24­7:37 PM
Homework
Lesson 1‐5
2‐54 E, 57,58
Aug 24­7:41 PM
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