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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