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Mrs. Hayden
Geometry 201
Problems with Angles
Name_________________________
Solve for x and y.
1.
2.
3.
3x
3x-5
4x+8
6x-20
4x-23
70
4.
5.
6.
x
38
x
2x+4
2x-4
7.
8.
29 y
9.
20x
36
A
50
64
B
100+20x
3x-y
x
m ABC=x2
2x-16
C
10.
11.
12.
x+2y
2y+5
3x-8
x
70
95
x+y
40
4x-y
x
2y-17
Mrs. Hayden
In the diagram, OT bisects  SOU, m  UOV = 35, and m  YOW = 120. Find the measure of each angle.
13. m  ZOY
14. m  ZOW
15. m  VOW
16. m  SOU
17. m  TOU
18. m  ZOT
U
T
V
W
O
S
Z
Y
X
If  A and  B are supplementary, find the value of x and the measure of the angles.
19. m  A = 2x, m  B = x – 15
20. m  A = x + 16, m  B = 2x – 16
If  C and  D are complementary, find the value of y and the measure of the angles.
21. m  C = 3y + 5, m  D = 2y
22. m  C = y - 8, m  D = 3y + 2
Use the given information to write an equation. Solve the equation to find the measures of the two angles
described.
23. A supplement of an angle is twice as large as the angle.
24. A complement of an angle is five times as large as the angle.
25. The measure of one of two complementary angles is six less than twice the measure of the other.
26. The difference between the measures of two supplementary angles is 42.
27. A supplement of an angle is six times as large as a complement of the angle.
28. Three times the measure of a supplement of an angle is eight times the measure of a complement of the
angle.
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