Download Parallel Lines and Triangles

Name
Class
Date
Practice
3-5
Form K
Parallel Lines and Triangles
Find ml1.
1.
2.
3.
31
1
1
66
1
121
7
89.2
52
48.5
42.3
83
Algebra Find the value of each variable.
4.
y
z
5.
28
64
6.
37
c
39
x
z
85
y
a
113; 67; 49
109
63
b
x
130
67; 63; 32
37; 34; 143
7. a. Which of the numbered angles are exterior angles?
l4, l6, l8, and l10
4
5
1
b. Name the remote interior angles for each exterior angle.
6
l4: l2 and l3; l6: l2 and l3; l8: l1 and l2; l10: l1 and l3
c. Which two exterior angles share the same remote interior
7
10
2
9
3 8
angles? Explain.
l4 and l6 share the same remote interior angles because l4 and l6 are
vertical angles.
Algebra Find each missing angle measure.
8.
99
30
129
9.
10.
1
2
44
62
26.8
48.3
4
21.5
106; 74
11. What are the values of x and y in the right triangle?
124; 56
x
y
34
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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3
Name
Class
3-5
Date
Practice (continued)
Form K
Parallel Lines and Triangles
12. A tabletop easel has different angle settings.
If m/1 5 75 and m/2 5 40, what is m/4?
145
4
3
1
2
Algebra Use the given information to find the unknown angle measures in
the triangle.
13. The ratio of the angle measures of the acute angles in a right triangle is 1 i 3.
22.5 and 67.5
14. The measure of one angle of a triangle is 61. The other two angles are in a
ratio of 2 i 5.
34 and 85
15. The measure of the exterior angle of a triangle is 110. The measures of its
remote interior angles are in a ratio of 2 i 3.
44 and 66
16. Think About a Plan The measure of an exterior angle of nDEF is 4x. The
measure of one of this angle’s remote interior angles is x 1 23. The measure
of the other remote interior angle is 2x 1 12. Find the value of x, the measure
of each angle of the triangle, and the measure of the exterior angle.
35; interior angles: 58, 82, and 40; exterior angle: 140
• How can drawing a picture help you find the answers?
A drawing can help you see how the various angles relate to each other.
• How are the exterior angle and the third angle of the triangle related?
They are a linear pair, so they are supplementary.
Find the values of the variables and the measures of the angles.
17.
18. 21; 21, 23, and 136
13; 39 and 51
(4x 1)
(x 2)
x
(6x 10)
(3x)
19.
y
29; 29; 61
20. 52; 25; 90
61
65 x
38
x
z
y
z
Prentice Hall Foundations Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
46