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Introduction to Geometry Worksheet I
1. Given LOM !83" and LON !142", find the measure of MON .
M
L
O N
2. Given LOM !42" and LON !93", find the measure of MON .
L
M
O N
Find the measure of x.
3. 4.
158
x 74 88
x
34
Given LON is a right angle, find the measure of x.
5. 6.
L L
M
x
5x M 2x
x O N
O N
7. 8.
L
L x+14 M
M x
x + 31
x
O N O N
55
Find the measure of x.
9. 10.
x
68 x 114
l l
11. 12.
131
x
x 76
l 156
172
Find x.
13. 14.
4x 6x
3x 4x
2x 2x
l l
15. 16.
x+20
4x 5x
3x x+45 3x
l l
17. 18.
4x
4x
2x 5x 2x
x
3x
7x
56
Find the measure of x.
19. 20.
129
x
x 82
Find x.
21. 22. m
j 2x+36
5x 4x + 20
k 5x
l
Given l1 || l2, find the measures of a and b.
23. t 24. t
42 l1 l
a 1
b l 136 a
2 l2
b
25. 26. t
t
24 l1
a l1
b l b 126
2 a l
2
Given l1 || l2, find x.
t
27. t 28.
l
l 1
1 6x
3x 3x
x l2
l2
57
29. t 30.
t
x+20
l1
x+50
3x l1
l2
4x
l2
Find the measures of x and y.
31. 32.
135
95
76 59
x y
y x
33. 34.
y 139
y
x x
36
ANSWERS
1. 59" 3. 84" 5. 15" 7. 38" 9. 112" 11. 112" 13. 20" 15. 20" 17. 36" 19. 98"
21. 20" 23. a = 42", b = 42" 25. a = 156", b = 24" 27. 45" 29. 40"
31. x = 121", y = 76" 33. x = 36", y = 126"
58
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