Download Lesson 3: Complementary Angles Bellringer

Name:_________________________________
M6L3
Accordino-Math 7
Date:_________
Period:________
Lesson 3: Complementary Angles
Bellringer
(2 points) Solve for x:
You must collect all variables on to one side of the equal sign and all rational numbers to the
other using inverse operations.
5x - 15 = 2x + 6
Name:_________________________________
M6L3
Date:_________
Accordino-Math 7
Period:________
Lesson 3: Complementary Angles
Notes
30°
30°
60°
60°
“It is right to complement!”
Complementary angles ~
Name the two right angles in the diagram below. How do you know
they are right angles?
G
C
x°
A
63°
F
E
D
Name:_________________________________
M6L3
Accordino-Math 7
Date:_________
Period:________
Example 1:
Write and solve an equation to find each missing complementary angle.
Example 2:
Write and solve an equation to solve for x.
G
C
x°
A
D
63°
F
E
Example 3:
Write and solve an equation to solve for x. Then use substitution to find the values of AOB
and BOC .
Name:_________________________________
M6L3
Accordino-Math 7
Date:_________
Period:________
Example 4: Word Problems
1. Two angles are complementary. One angle is x and the other angle is x – 40.
2. The measurement of the complement of an angle is 39° more than the angle. Find the
measurement of the angle and its complement.
You Try!
3. Two angles are complementary. One angle is x and the other is 50 more than the first angle.
4. Find the degree measure of y .
Name:_________________________________
M6L3
Date:_________
Accordino-Math 7
Homework
Period:________
G
1) Given the figure at the right, determine if each statement is
true or false:
C
a. GAC is a right angle. _________
b. GAF is a right angle. _________
c. GAC and CAF are complementary angles.
_________
d. FAE is an obtuse angle. _________
e. CAF and EAD are adjacent angles.
_________
f. CAF and EAD are vertical angles. _________
g. FAD is an obtuse angle. _________
h. GAC and CAF are adjacent angles. _________
i. 𝑥° is the complement of 63°. _________
x°
A
D
63°
F
E
2) Two angles are complementary. One angle is y and the other angle is 2y + 30. Find the value of each
unknown angle.
3) On a separate sheet of paper, write and solve an equation to find each missing angle below.
4) On a separate sheet of paper, write and solve an equation to solve for y.
x°
y°
16°
Name:_________________________________
M6L3
Accordino-Math 7
Date:_________
Period:________
Lesson 3: Complementary Angles
Exit Ticket
1. (3 points) Write an equation that represents the complementary relationship below. Then solve
and use substitution to determine the values of AOB and BOC . Label each angle with
their appropriate degree measure.
x