BC Learning Network – AW Math 10
Unit 5 – Angles and Parallel Lines
Instructions:
Using a pencil, complete the following questions as you work through the
related lessons. Show ALL work as it is explained in the lessons. Do your best
and ask your teacher if you do not understand any question. Remember you
can use the data file for questions in the assignment and on the quizzes.
Lesson 1 Identifying, Measuring and Estimating Angles
1. Estimate each angle to the nearest 450
2. Estimate the following angles to the nearest 150
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3. Construct the same angle as shown using a compass and straight edge
a)
b)
4. Give the true bearing of the point P in each of the following diagrams
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5. Which direction are the following compass bearings? e.g. 860 is roughly E
a) 3060 is roughly ________
b) 120 is roughly _________
c) 2000 is roughly _________
d) 3490 is roughly _________
e)1500 is roughly _________
f) 2630 is roughly _________
g) 2470 is roughly _________
h) 370 is roughly _________
Lesson 2 Complementary and Supplementary Angles
6. Classify each of the following angles as acute, right, obtuse, straight or reflex
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7.
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8. Construct the angle bisector for these angles.
a)
b)
9. One angle of a pair of complementary angles is given. What is the
measurement of the other angle?
a) 45° ________
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b) 82° ________
c)23° _________
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BC Learning Network – AW Math 10
10. One angle of a pair of supplementary angles is given. What is the
measurement of the other angle?
a) 173° ________
b) 75° ________
c) 92° _________
Lesson 3 Identifying and Calculating Angles Formed by Two
Lines
11. Classify each pair of angles as one of the following:
 alternate interior angles
 alternate exterior angles
 supplementary angles
 corresponding angles
 vertically opposite angles
 none
a) 9 & 16
_________________________
b)15 & 11
_________________________
c) 10 & 15
_________________________
d) 12 & 15
_________________________
e) 9 & 11
_________________________
f) 9 & 15
_________________________
g) 12 & 15
_________________________
h) ) 14 & 11
_________________________
12. If m2 = 99 and m6 = 83, find the size of the following angles and explain
your reasoning.
m 3 = ______
m 5 = ______
m 7 = ______
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Lesson 4 Identifying and Calculating Angles formed by Two
Parallel Lines
13. In each diagram, is l1 parallel to l2 ? Give a reason for your answer.
a)
140
140
Parallel: __________________________
l1
l2
Why: __________________________
b)
54
Parallel: __________________________
126
l1
l2
Why: __________________________
c)
l1
Parallel: __________________________
112
113
d)
Why: __________________________
Parallel: __________________________
Why: __________________________
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14. In the diagram below, which lines are parallel and why?
l1
l2
42
53
l3
83
125
l4
l5
15. In the diagram below, what are the measures of x , y and z ?
z
y
x
28
16. In the diagram below, which angles measures 140 ?
40
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17. A floatplane is flying at 500 feet traveling parallel to the shoreline and turns
30 to the right. It continues in this direction before making a sharp right
hand turn so it now is pointing at a 15 angle to the shoreline. What is the
measure, in degrees, of the second turn?
30
15
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Answers:
1.
2.
3.
4.
5.
6.
a) 2250 b)3150 c) 900 d)2700
a) 150 b)1350
Be sure to show all construction marks
a) 480 b) 600 c) 1400 d) 2900
a)NW b)N c)SSW d)NNW e)SE f)W g)WSW h)NNE
a) acute b) reflex c) obtuse d) straight e) reflex f) reflex
g) obtuse h) reflex i) obtuse j)reflex k)right l) reflex
7. a) 300 b) 1150 c) 1050 d) 1450 e) 600
f) 100 g) 800 h) 1550 i) 550 j) 650
8. Be sure to show all construction marks
9. a) 450 b) 80 c) 670
10. a) 80 b) 1050 c) 850
11. a) alternate exterior angles b) supplementary angles c) alternate interior
angles d) vertically opposite angles e) corresponding angles f) none
g) alternate interior angles
12. a) 990 vertically opposite to 2 b) 970 supplementary to 6 c) 830 vertically
opposite to 6
13. a) yes – corresponding angles are equal
b) yes - interior angles are supplementary
c) no – alternate interior angles are not equal
d) no – corresponding angles are not equal
14. l4 and l5 - corresponding angles are equal
15. x = 280
y = 1520
z = 280
16. a c f  d
17. 1650
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