2016­11­28 angles day 2.notebook
November 28, 2016
Today Is Monday
11/28
Do Now:
-Get Calculator
-Put phone on notecard
-Copy down tonight's HW
-Missing Angles W.S.
-Quiz Friday. Extra help
Friday Morning
Today's Objective: Complementary,
Supplementary, and Vertical Angles
2016­11­28 angles day 2.notebook
November 28, 2016
But first a donkey on a hoverboard.
Complementary Angles
(Pair of angles whose sum equals 90o)
To find the complement of the given angles
Write an equation that states the sum of the angles is
equal to 90.
Solve for the missing angle measure.
Example:
x
15o
x + 15 = 90
2016­11­28 angles day 2.notebook
November 28, 2016
Find the missing angle measure
Supplementary Angles
(Pair of angles whose sum equals 180o)
To find the supplement of the given angles
Write an equation that states the sum of the angles is
equal to 180.
Solve for the missing angle measure.
Example:
x
x + 45 = 180
45
o
2016­11­28 angles day 2.notebook
Find the missing angle measure
Tell whether the angles are complementary or supplementary. Then find the value of x.
a.
b.
November 28, 2016
2016­11­28 angles day 2.notebook
November 28, 2016
Tell whether the angles are complementary or supplementary. Then find the value of x.
4.
5.
Vertical Angles
(Angles that are opposite each other when two lines cross )
Vertical angles are congruent
o
110
x
x = 110
2016­11­28 angles day 2.notebook
November 28, 2016
Find the missing vertical angle measures
89
x
123
x
Use the figure shown.
a. Name a pair of adjacent angles.
b. Name a pair of vertical angles.
2016­11­28 angles day 2.notebook
November 28, 2016
Solve for x
2x + 10
120o
Solve for x
30
x + 20
2016­11­28 angles day 2.notebook
November 28, 2016
Solve for x
120o
Angle Measurement
38
56
98
23
2x
Complement
Supplement
2016­11­28 angles day 2.notebook
November 28, 2016
True or False?
1. Supplementary angles could both be acute.
2. Supplementary angles could be congruent. 3. Complementary angles sum to 180°. 4. Complementary angles could be obtuse. 5. Every angle has a complement and a supplement.