Download Geometry 2.2 Day 2 Describe Angle Pair Relationships

Geom 09_26_16 sect 2_2 day 2
September 26, 2016
Warm-up after 2.2 Day 1:
1. If an angle measures 60˚,
Geometry 2.2 Day 2
Describe Angle Pair
Relationships
then the complement is ____ and the supplement is ____
2. ∠1 is adjacent to ___
∠1 is supplementary to ___
2
∠2 is complementary to ___
Goal: I can use special angle relationships to find angle measures.
[G-CO.1 & G-CO.9]
5
3 4
State the 2 different names for the
2
1
1
relationship between ∠1 between ∠2
Vertical angles
- 2 angles whose sides form 2 pairs of opposite rays
and have a common vertex.
Linear pair
___ and ___ are vertical angles
- 2 ADJACENT angles that have a sum of _____
___ and ___ are vertical angles
1.
∠4 and _____ are a linear pair.
What is true about the measurements of vertical angles?
∠6 and _____ are a linear pair.
(look at example #1)
VERTICAL ANGLES are CONGRUENT
If m∠3 = 125˚ then find the m∠4 = ___ , m∠5 = ___ and m∠6 = ___
2.
Find the value of the variable(s). Set up equations and show work!
(Hint: state the angle relationship)
State the linear pairs and vertical angles.
Linear pairs
48˚
Vertical angles
3.
5.
4.
(3x)˚
(10x – 11)˚
y˚
99˚
Find the measures of the numbered angles.
1
2
m∠1 = ___
m∠2 = ___
5
3
62˚
4
m∠3 = ___
m∠4 = ___
m∠5 = ___
1
Geom 09_26_16 sect 2_2 day 2
Find the value of the variable(s). Set up equations and show work!
6.
September 26, 2016
7.
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.
Exit Slip:
1. Find the value of x.
48˚
62˚
(2 + 3x)˚
(4y)˚
2. Find the value of y.
Assignment: 2.2 Day 2 worksheet
2