Download Geometry Worksheet II

Geometry Worksheet II
Find the complement of the following angles: 1. 34°
Find the supplement of the following angles:
3. 153°
2. 72°
4. 48°
Use the given line for problems #5 - #10:
A
B
C
D
5. If AB = 14, BC = 5, and AD = 26, find the length of CD.
6. If AB = 18, BC = 2, and AD = 30, find the length of CD.
7. If AD = 40, CD = 12, find the length of AC.
8. If BC = 6, CD = 8, and AD = 18, find the length of AB.
9. If AB = 15, and BD is twice the length of AB, find the length of AD.
10. If AC = 20 and CD is half the length of AC, find the length of AD.
Given the angle for problems #11 and #12:
L
11. Given ∠ LOM = 54° and ∠ LON = 108°,
find the measure of ∠ MON.
M
12. Given ∠ LOM = 68° and ∠ MON = 42°,
find the measure of ∠ LON.
N
O
Find the measure of x for problems #13 and #14:
13.
14.
79°
175°
x
55°
36°
53
x
Given that ∠ LON is a right angle, find the measure of ∠ x for problems #15 - #18.
15.
16.
M
L
L
x
M
5x
4x
O
4x
O
N
17.
N
18.
M
L x+32°
L
x
O
M
x
x+15°
O
N
N
Find the measure of ∠ x for problems #19 - #32.
19.
20.
x
134°
x
38°
21.
22.
x
82°
x
163°
107°
123°
23.
24.
6x
7x
5x
2x
25.
3x
x
26.
x+36º
x+20°
5x
2x
3x
54
4x
27.
28.
4x
2x
3x
6x
5x
x
3x
2x
Find the measure of ∠ x.
29.
30.
x
143°
72°
x
32.
31.
5x
4x
3x + 34°
x + 27°
Given that l1 l2 , find the measures of angles a and b.
33.
34.
132°
l1
l1
a
l2
35°
a
l2
b
b
36.
35.
l1
l2
a
b
l1
b
l2
58°
55
a
135°
Given that l1 l2 , find x.
37.
38.
l1
l1
3x
l2
7x
l2
2x
4x
40.
39.
l1
l2
l1
6x
l2
x + 40°
x + 20°
3x
41. One angle in a triangle is a right angle, and one angle is equal to 25°. What is the
measure of the third angle?
42. A triangle has a 55° and a right angle. Find the measure of the third angle.
43. Two angles of a triangle measure 40° and 100°. Find the measure of the third angle.
44. A triangle has a 15° angle and a 70° angle. What is the measure of the third angle?
56
45. Given that ∠a = 105° and ∠b = 65°, find
the measures of angles x and y.
a
46. Given that ∠a = 140° and ∠b = 120°,
find the measures of angles x and y.
a
x
b
y
x
y
47. Given that ∠y = 150°, find the measures
of angles a and b.
b
48. Given that ∠y = 125°, find the measures
of angles a and b.
b
y
a
b
y
a
ANSWERS
1. 56°
3. 27°
5. 7
23. 10
25. 20
27. 20
39. 20°
41. 65°
7. 28
43. 40°
9. 45
29. 108°
11. 54°
31. 17
13. 120°
15. 18°
33. a = 48°, b=132°
45. x = 140°, y = 115°
57
17. 29°
19. 142°
35. a = 58°, b = 122°
47. a = 30°, b = 60°
21. 115°
37. 18°