1. VOCABULARY Sketch an example of adjacent angles that are complementary. Are all complementary angles adjacent angles? Explain. 2. * WRITING Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. IDENTIFYING ANGLES Tell whether the indicated angles are adjacent. 3. ZABD and Z DBC 4. ZWXY and ZXYZ 5. ZLQM and Z NQM M A B. IDENTIFYING ANGLES Name a pair of complementary angles and a pair of supplementary angles. 6. 7. 150 30°
1. VOCABULARY Sketch an example of adjacent angles that are complementary. Are all complementary angles adjacent angles? Explain. 2. * WRITING Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. IDENTIFYING ANGLES Tell whether the indicated angles are adjacent. 3. ZABD and Z DBC 4. ZWXY and ZXYZ 5. ZLQM and Z NQM M A B. IDENTIFYING ANGLES Name a pair of complementary angles and a pair of supplementary angles. 6. 7. 150 30°
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Can you help me with 1-19 please
Transcribed Image Text:CONCEPT SUMMARY
For Your Notebook
Interpreting a Diagram
There are some things you can conclude from a diagram,
and some you cannot. For example, here are some things
that you can conclude from the diagram at the right:
B
• All points shown are coplanar.
• Points A, B, and Care collinear, and B is between A and C.
• AC, BD, and BẺ intersect at point B.
• ZDBE and ZEBC are adjacent angles, and ZABC is a straight angle.
• Point E lies in the interior of Z DBC.
In the diagram above, you cannot conclude that AB = BC,
that ZDBE = ZEBC, or that ZABD is a right angle. This
information must be indicated, as shown at the right.
DO
HOMEWORK
1.5 EXERCISES
= See WORKED-OUT SOLUTIONS
KEY
Exs. 9, 21, and 47
* = STANDARDIZED TEST PRACTICE
Exs. 2, 16, 30, and 53
= MULTIPLE REPRESENTATIONS
Ex. 55
SKILL PRACTICE
1. VOCABULARY Sketch an example of adjacent angles that are
complementary. Are all complementary angles adjacent angles? Explain.
2. * WRITING Are all linear pairs supplementary angles? Are all
supplementary angles linear pairs? Explain.
EXAMPLE 1
IDENTIFYING ANGLES Tell whether the indicated angles are adjacent.
for Exs. 3-7
3. ZABD and Z DBC
4. ZWXYand 2XYZ
5. ZLQM and Z NQM
M
В
IDENTIFYING ANGLES Name a pair of complementary angles and a pair of
supplementary angles.
6.
7.
150
T\60° S
38
Chapter 1 Essentials of Geometry
Transcribed Image Text:EXAMPLE 2
for Exs. 8-16
COMPLEMENTARY ANGLES 21 and 22 are complementary angles. Given the
measure of Z1, find m/2.
8. m21 = 43°
9 mz1 = 21°
10. mz1 = 89°
11. m21 = 5°
SUPPLEMENTARY ANGLES 21 and 2 are supplementary angles. Given the
measure of Z1, find m2.
12. m21 = 60°
13. т21-D 155°
14. m21 = 130°
15. m21 = 27°
16. * MULTIPLE CHOICE The arm of a crossing gate moves 37° from vertical.
How many more degrees does the arm have to move so that it is horizontal?
A 37°
B 53°
37
© 90°
143
EXAMPLE 3
O ALGEBRA Find m/DEG and m2 GEF.
for Exs. 17-19
17.
18.
19.
De
G.
G'
(18x – 9) (4x + 13)
(7x – 3) (12x – 7)°.
6x
4x°
E
E
EXAMPLE 4
for Exs. 20-27
IDENTIFYING ANGLE PAIRS Use the diagram below. Tell whether the angles
are vertical angles, a linear pair, or neither.
21) 21 and 2
20. 21 and 24
22. 23 and 25
23. 22 and 23
24. 27, 28, and
25. 25 and 26
26. 26 and 27
27. 25 and 29
EXAMPLE 5
28. O ALGEBRA Two angles form a linear pair. The measure of one angle is
4 times the measure of the other angle. Find the measure of each angle.
for Exs. 28-30
29. ERROR ANALYSIS Describe and
correct the error made in finding
the value of x.
x° + 3x° = 180°
4x = 180
3x
x = 45
30. * MULTIPLE CHOICE The measure of one angle is 24° greater than the
measure of its complement. What are the measures of the angles?
A 24° and 66°
® 24° and 156°
© 33" and 57°
O 78° and 102°
ALGEBRA Find the values of x and y.
31.
32.
33.
(9x + 20)°
(8x+ 26)°
2y (4x – 100)°
(3y + 30)(x + 5)°
2y
7x
(5y + 38)°
3x
1.5 Describe Angle Pair Relationships
39
.......
.....
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