Download Complementary and Supplementary Angles 2016

Complementary and Supplementary Angles 2016
November 07, 2016
Mental Floss ­ 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.
Assumptions from diagram
• Straight angles
• Vertical angles
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.
You do not have to say either one of these in your proofs.
and
are complementary.
is complementary to .
1
2
is complementary to .
1
Complementary and Supplementary Angles 2016
2.2 ­ Complementary and Supplementary Angles
November 07, 2016
2.2 ­ Complementary Angles
Supplementary Angles
Pairs
Def: If two angles add up to equal 180 degrees or form a straight angle, then they are supplementary.
54
are supplementary.
and
is supplementary to .
3 4
63
57
64
46
27
33
26
44
is supplementary to .
Exit Slip: Comp and Supp Angles
Angle =
Angle
Complement
Supplement
Supplement of the Complement
Complement =
45
45
135
135
Supplement =
58
32
122
148
63
27
117
153
67
23
113
157
83.5
6.5
96.5
173.5
105
15
75
165
x
90­x
180­x
The measure of the complement of an angle is twice the measure of the angle itself. Find the measure of the angle.
Important!!!
Angle =
Complement =
Supplement =
Angle =
Complement =
Supplement =
The measure of the supplement of an angle is 20 more than three times the measure of the angle. Find the measure of the angle.
The measure of the supplement of an angle is 30 less than three times the measure of the complement of the same angle. Find the measure of the angle.
2