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LESSON
1-3
Reading Strategies
Building Vocabulary
The four types of angles are described in the table below.
Angle
Definition
Example
acute
measures greater than 0°
but less than 90°
right
90° angle
obtuse
measures greater than 90°
but less than 180°
straight
formed by two opposite rays
and measures 180°
Identify each angle as acute, right, obtuse, or straight. Use the table above to help you.
1.
2.
________________________
4.
3.
_________________________
5.
________________________
________________________
6.
_________________________
________________________
Tell what type of angle has the given measure.
7. 45° _______________
8. 92° _______________
9. 178° _______________
10. 180° _______________
11. 90° _______________
12. 37° _______________
13. Draw an acute angle.
14. Draw an obtuse angle.
15. Draw a right angle.
16. Draw a straight angle.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
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Holt McDougal Geometry
9. obtuse
6.
11. right
10. straight
12. acute
13. Check students’ drawings.
14. Check students’ drawings.
7. 7.5 < x < 22.5
8. back 2
15. Check students’ drawings.
1
1
somersault 2 twists
2
2
16. Check students’ drawings.
9. 68°
1-4 PAIRS OF ANGLES
⎯→
10. No, WZ does not have to be the angle
bisector of ∠XWY.
Practice A
1. vertex; side
2. linear pair
3. 90°
4. right angle
1. ∠Q, ∠PQR, ∠1
5. Supplementary
6. straight angle
2. ∠J, ∠HJK, ∠KJH
7.
Reteach
3. ∠ABD, ∠ABC, ∠DBC
4. obtuse
5. right
6. acute
7. 55°
8. 125°
9. 102°
10. 51°
8.
11. 129°
12. 51°
Challenge
9. 120°
1.
10. 30.
11.
2. angle bisector
Practice B
3. It is double the number of cuts.
4. 360 ÷ (2n) or 180 ÷ n
1. 180°
JJJG
2. QR
5. 20; 18°
3. 137.9°
4. (110 − 8x)°
5. 132°
6. 135°
Problem Solving
1. Sample answer: ∠LKG, ∠GKH, ∠HKJ,
∠JKL, ∠LKH
7. m∠DEF = 29°; m∠FEG = 61°
2. 103°
3. 100°
4. 65°
5. 27°
9. Possible answers: ∠1 and ∠3 or ∠2 and
∠4
6. A
7. J
8. m∠DEF = 91°; m∠FEG = 89°
10. Possible answers: ∠1 and ∠2; ∠2 and
∠3; ∠3 and ∠4; or ∠1 and ∠4
Reading Strategies
1. obtuse
2. acute
3. right
4. right
5. straight
6. obtuse
7. acute
8. obtuse
11. right
12. 45°; 45°
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A4
Holt McDougal Geometry