Download Lesson 1: Adjacent Angles Bellringer

Name:_________________________________
M6L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Adjacent Angles
Bellringer
1.
For each triangle below determine if it is acute, obtuse, or right (you will only use each answer once).
Triangle a: __________________ Triangle b: ___________________ Triangle c: __________________
2. Given that points, Q, R, and S lie on a line and a line has an angle measure of 180°. Which would be
the correct measure of ∠QRT?
a. 122°
b. 32°
c. 128°
d. 92°
Name:_________________________________
M6L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Adjacent Angles
Notes
As we begin our study of geometry, let’s review some definitions.
Term
Definition
A set of _______________ that continues
Line
in a ______________ path. It continues
in two directions __________________,
Line
Segment
Part of a line. It has two _____________.
Part of a line. Starts at a
Ray
_________________ and continues in
_______ direction.
The set of points formed by two rays that
Angle
have the same ________________. Each
ray is called the _____________ of the
angle.
Right Angle
Acute Angle
Obtuse
Angle
An angle that measures exactly
________.
An angle that measures less than
__________ but more than __________.
An angle that measures more than
___________ but less than _________.
Angles can be named using three letters.
Looks like
Name:_________________________________
M6L1
Accordino-Math 7
Date:_________
Period:________
What does the word adjacent mean?
Adjacent angles ~
Give the diagram below name at least two sets of adjacent angles.
a. What would be the total angle measure of ∠𝑄𝑅𝑇?
Write an expression that represents your answer.
b. What would be the total angle measure of ∠𝑄𝑅𝑆?
Write an equation that represents your answer.
c. What is the angle measure of ∠𝑇𝑅𝑆 ? Use your equation from b to prove your response.
Name:_________________________________
Accordino-Math 7
M6L1
Date:_________
Period:________
For each example below, write and solve an equation to find the missing angle measure.
You Try!
Name:_________________________________
M6L1
Accordino-Math 7
Date:_________
Period:________
Example 5: Find the measure of both angles if  GEM = 172.5
Let’s Think: How would you solve the following problem?
Does the process change just because the measure of the
angles are polynomials?
Step 1: Write an equation to represent the picture.
Step 2: Solve the equation for the variable.
Step 3: Substitute the value into each angle and simplify.
You Try!
Write and solve an equation to find the measure of each angle in the diagram below given that
∠𝐴𝐵𝐷 = 178.
4x + 134
4x + 32
Name:_________________________________
M6L1
Date:_________
Accordino-Math 7
Period:________
Homework:
Write and solve an equation to find the missing angle measures for each
figure below.
1
.
3
.
2
.
Find the unknown angles measures given ∠𝐸𝐹𝐻 = 110
G
E
.
2x - 10
5x + 22
H
.
F
4
.
Find the unknown angle measures given ∠𝐴𝐵𝐷 = 191
A
.
B
.
3x + 86
3x + 66
D
.
Name:_________________________________
M6L1
Accordino-Math 7
Date:_________
Period:________
Lesson 1: Adjacent Angles
Exit Ticket
1. (2 points) Write and solve an equation to find the missing angle measure below.
2. (1 point) Which value of x would make the below equation true given ∠𝑄𝑅𝑇 = 80?
a. x = 7
b. x = 70
c. x = 10
d. x = 90
Q
S
4x - 10
R
3x + 20
T