Worksheet - Angle Relationships

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Name: ____________________________
Math 7 Accel.
Worksheet: Angle Relationships
February 13, 2013
Part I: Identifying Angles. For each of the following diagrams, identify two pairs of
alternate interior angles, two pairs of corresponding angles, four pairs of
vertical angles, and two pairs of supplementary angles.
1.)
Alternate Interior Angles:
______________
______________
1
2
3
4
Corresponding Angles:
______________
______________
6
5
7
8
Vertical Angles:
______________
______________
______________
______________
Supplementary Angles:
______________
______________
Part II: Find the missing angle measures. (Note:
∡1 means "the measure of angle1")
2.)
∡1 = ______________
∡2 = ______________
∡3 = ______________
1
65
2
3
3.) Given: m ║n (lines m and n are parallel)
3
1
6
m
∡1 = ______________
8
∡3 = ______________
5
135
4
n
7
∡4 = ______________
∡5 = ______________
∡6 = ______________
∡7 = ______________
∡8 = ______________
4.)
∡1 = ______________
∡2 = ______________
∡3 = ______________
30
3
1
2
100 
Part III: Using Algebra.
5.) Given the diagram below, write and solve an equation to find .
= ______________
4x
2x
6.) ∡1 and ∡2 are complementary. The ∡1 = (3 + 4)° and the ∡2 = ( + 6)°.
Write and solve an equation to find and find the measures of angles 1 and 2.
= ______________
∡1 = ______________
∡2 = ______________
Challenge: Find the measures of the numbered angles. (This is not as hard as it looks :o)
m
n
11
o
3
1
17
9
15
125 
8
7
13
2
10
14
o║n║m
12
4
6
16
5
p
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