Lesson 2.5 • Angle Relationships - Weebly
Lesson 2.5 ? Angle Relationships
Name
Period
For Exercises 1?8, find each lettered angle measure without using a protractor.
1.
2.
a
112?
bc
15?
a 38?
3.
40?
a
d
70? b c
Date
4.
a
66?
42?
b
5.
e d
132?
ba c
138?
6.
a
b
c
70?
de
7.
110? a
8.
c b 100?
25?
For Exercises 9?14, tell whether each statement is always (A), sometimes (S), or never (N) true.
9. _____ The sum of the measures of two acute angles equals the measure of an obtuse angle.
10. _____ If XAY and PAQ are vertical angles, then either X, A, and P or X, A, and Q are collinear.
11. _____ The sum of the measures of two obtuse angles equals the measure of an obtuse angle.
12. _____ The difference between the measures of the supplement and the complement of an angle is 90?.
13. _____ If two angles form a linear pair, then they are complementary.
14. _____ If a statement is true, then its converse is true.
For Exercises 15?19, fill in each blank to make a true statement.
15. If one angle of a linear pair is obtuse, then the other is ____________.
16. If A B and the supplement of B has measure 22?, then mA ________________.
17. If P is a right angle and P and Q form a linear pair, then mQ is ________________.
18. If S and T are complementary and T and U are supplementary, then U is a(n) ________________ angle.
19. Switching the "if " and "then" parts of a statement changes the statement to its ________________.
a
b
Discovering Geometry Practice Your Skills ?2003 Key Curriculum Press
CHAPTER 2
13
LESSON 2.5 ? Angle Relationships
1. a 68?, b 112?, c 68?
2. a 127?
3. a 35?, b 40?, c 35?, d 70?
4. a 24?, b 48?
5. a 90?, b 90?, c 42?, d 48?, e 132?
6. a 20?, b 70?, c 20?, d 70?, e 110?
7. a 70?, b 55?, c 25?
8. a 90?, b 90?
9. Sometimes
10. Always
11. Never 12. Always
13. Never
14. Sometimes 15. acute
16. 158?
17. 90?
18. obtuse
19. converse
LESSON 2.6 ? Special Angles on Parallel Lines
1. One of: 1 and 3; 5 and 7; 2 and 4; 6 and 8
2. One of: 2 and 7; 3 and 6
3. One of: 1 and 8; 4 and 5
4. One of: 1 and 6; 3 and 8; 2 and 5; 4 and 7
5. One of: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 1 and 5; 2 and 6; 3 and 7; 4 and 8
6. Sometimes
7. Always
8. Always
9. Always
10. Never 11. Sometimes
12. a 54?, b 54?, c 54?
13. a 115?, b 65?, c 115?, d 65?
14. a 72?, b 126?
15. 1 2
16. 1 2
17. cannot be determined
18. a 102?, b 78?, c 58?, d 122?, e 26?, f 58?
LESSON 3.1 ? Duplicating Segments and Angles
1. P
Q
R
S
A
2. XY 3PQ 2RS
X
3. Possible answer: 128? 35? 93?
B
Y
4.
B
5.
B
C
D
C
D
6.
D
C
D
7. Four possible triangles. One is shown below.
LESSON 3.2 ? Constructing Perpendicular Bisectors
1.
2. Square
Discovering Geometry Practice Your Skills ?2003 Key Curriculum Press
ANSWERS
91
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