2.2 - Complementary and Supplementary Angles 2016.notebook

2.2 ­ Complementary and Supplementary Angles 2016.notebook
November 03, 2016
Bellringer ­ Wed 11/02
Change each of the following sentences from words to an expression, equation, or inequality (depends on the problem) 1.) Fifty less than ten times a number
2.) The sum of a number and six times the same number is seventy. 3.) Twelve times a number is greater than one hundred less than that number.
Sep 29­9:06 AM
Sep 16­9:20 AM
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2.2 ­ Complementary and Supplementary Angles 2016.notebook
November 03, 2016
Nov 2­7:43 AM
Sep 16­9:20 AM
2
2.2 ­ Complementary and Supplementary Angles 2016.notebook
November 03, 2016
Assumptions from diagram
• Straight angles
• Vertical angles
You do not have to say either one of these in your proofs.
Sep 29­9:06 AM
2.2 ­ Complementary and Supplementary Angles
Complementary Angles
Def: If two angles add up to equal 90 degrees or form a right angle, then they are complementary.
and
are complementary.
is complementary to .
1
2
is complementary to .
Sep 29­9:06 AM
3
2.2 ­ Complementary and Supplementary Angles 2016.notebook
November 03, 2016
2.2 ­ Complementary and Supplementary Angles
Supplementary Angles
Def: If two angles add up to equal 180 degrees or form a straight angle, then they are supplementary.
and
are supplementary.
is supplementary to .
3 4
is supplementary to .
Sep 29­9:06 AM
2.2 ­ Complementary Angles
Pairs
54
63
57
27
33
64
26
46
44
Sep 29­9:06 AM
4
2.2 ­ Complementary and Supplementary Angles 2016.notebook
November 03, 2016
Exit Slip: Comp and Supp Angles
Angle
Complement
Supplement
Supplement of the Complement
45
45
135
135
32
117
157
83.5
165
x
Important!!!
Sep 5­7:14 AM
5