5. 1-5 Quiz
Label your paper: Name/Date/Block/1-5 Quiz
Identify the complement of each angle.
1. 15º 2. 36º 3. 89º 4. 76º
5. 24º 6. 47º 7. 87º 8. 1º
Identify the supplement of each angle.
9. 63º 10. 101º 11. 56º 12. 28º
13. 34º 14. 15º 15. 154º 16. 89º
H
Find the missing G
F A
angles. <H
= 35, <E = 55, <G = 45, <B = 45 E B
C
17. A = ____ 18. C = ____ 19. D = ___ D
20. F = ____
6. Example 1
The
measure of one of two
complementary angles is 20º. What is the
measure of the second angle?
7. Example 1
The
measure of one of two
complementary angles is 20º. What is the
measure of the second angle?
Step 1: Call the unknown angle measure
x.
8. Example 1
The
measure of one of two
complementary angles is 20º. What is the
measure of the second angle?
Step 1: Call the unknown angle measure
x.
Step 2: 20º + x = 90º by definition of
complementary angles.
9. Example 1
The
measure of one of two
complementary angles is 20º. What is the
measure of the second angle?
Step 1: Call the unknown angle measure
x.
Step 2: 20º + x = 90º by definition of
complementary angles.
Step 3: x = 90º - 20º … X = 70º
10. Example 2
The
measure of one of two
supplementary angles is 35º. W hat is the
measure of the second angle?
11. Example 2
The measure of one of two
supplementary angles is 35º. W hat is the
measure of the second angle?
Step 1: Call the unknown measure y.
12. Example 2
The measure of one of two
supplementary angles is 35º. W hat is the
measure of the second angle?
Step 1: Call the unknown measure y.
Step 2: 35º + y = 180º by the definition of
supplementary angles
13. Example 2
The measure of one of two
supplementary angles is 35º. W hat is the
measure of the second angle?
Step 1: Call the unknown measure y.
Step 2: 35º + y = 180º by the definition of
supplementary angles
Step 3: y = 180º - 35º … y = 145º
14. Example 3
The measure of one supplementary angle
is twice the measure of the second
supplementary angle. What is the
measure of each angle?
15. Example 3
The measure of one supplementary angle
is twice the measure of the second
supplementary angle. What is the
measure of each angle?
Step 1: Let w be the measure of the
smaller angle. Let 2w be the measure of
the larger angle.
16. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What
is the measure of each angle?
Step 1: Let w be the measure of the smaller angle.
Let 2w be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of
supplementary angles.
17. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What
is the measure of each angle?
Step 1: Let w be the measure of the smaller angle.
Let 2w be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of
supplementary angles.
Step 3: 3w = 180º …. w = 60º
x W = 60º
z y
18. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What
is the measure of each angle?
Step 1: Let w be the measure of the smaller angle.
Let 2w be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of
supplementary angles.
Step 3: 3w = 180º …. w = 60º
Step 4: x + 60º = 180º x W = 60º
X = 180º - 60º z y
X = 120º so m<x = 120º
19. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What
is the measure of each angle?
Step 1: Let w be the measure of the smaller angle.
Let 2w be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of
supplementary angles.
Step 3: 3w = 180º …. w = 60º
Step 4: x + 160º = 180º X =120 W = 60º
X = 180º - 60º z Y
X = 120º so m<x = 120º
Step 5: y + 60º = 180º
Y = 180º - 60º
Y = 120º so m<y = 120º
20. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What is the
measure of each angle?
Step 1: Let w be the measure of the smaller angle. Let 2w
be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of supplementary
angles.
Step 3: 3w = 180º …. w = 60º
Step 4: x + 160º = 180º
X = 180º - 60º
X = 120º so m<x = 120º
Step 5: y + 60º = 180º X =120 W = 60º
Y = 180º - 60º
z
Y = 120º so m<y = 120º Y = 120º
Step 6: z + 120º = 180º
Z = 180º - 120º
Z = 60º
21. Example 3
The measure of one supplementary angle is twice the
measure of the second supplementary angle. What is the
measure of each angle?
Step 1: Let w be the measure of the smaller angle. Let 2w
be the measure of the larger angle.
Step 2: 2w + w = 180º by the definition of supplementary
angles.
Step 3: 3w = 180º …. w = 60º
Step 4: x + 160º = 180º
X = 180º - 60º
X = 120º so m<x = 120º
Step 5: y + 60º = 180º X =120 W = 60º
Y = 180º - 60º
Y = 120º so m<y = 120º Z = 60º Y = 120º
Step 6: z + 120º = 180º
Z = 180º - 120º
Z = 60º
22. Think-Pair-Share
Complete the problem that matches the
color of post it that you received…
Complete on loose leaf…
Pink: The measure of one of two
complementary angles equals 30º. What is
the measure of the second angle?
Blue: The measure of one of two
supplementary angles equals 30º. What is
the measure of the second angle?
Orange: The measure of one of two
supplementary angles is 3 times larger than
the other. What are the measures of the
angles?
23. Think-Pair-Share
Complete the problem that matches the color of
post it that you received… Complete on loose
leaf…
Pink: The measure of one of two complementary
angles equals 30º. What is the measure of the
second angle?
Blue: The measure of one of two supplementary
angles equals 30º. What is the measure of the
second angle?
Orange: The measure of one of two
supplementary angles is 3 times larger than the
other. What are the measures of the angles?
**Now – Find the person with the matching post
it. Compare your answers and determine a
method for teaching the class your problem**