Download 5.1 Homework Find the value of each variable

Geometry Prep
Name ______________________
5.1 Homework
Find the value of each variable. Classify each triangle.
1.
2.
o
40
o
30
o
117
x
o
o
33
o
80
x
o
o
o
y
z
o
3.
w
o
t
o
30
o
30
o
4.
70
x
o
y
o
5.
6.
x
o
o
40
o
a
2x
o
7.
o
30
c
o
Draw a triangle to fit each description. Mark the triangles to show known information.
8. equilateral
9. obtuse isosceles
10. acute isosceles
11. scalene acute
12. Reason Abstractly: Two remote interior angles of a triangle measure 37o and 62o.
What is the measure of the exterior angle associated with the remote interior
angles? What is the measure of the third angle of the triangle? Show all necessary
work.
13. Find m∠2 .
o
13
o
128
2
Find the values of the variables and then the measures of the angles. Classify each
triangle by its angles.
U
14. C
15.
o
75
(2x + 4)
x
o
o
B
(2x – 9)
o
x
o
T
V
A
x = ______ m∠A =_____, m∠B =_____
m∠T =_____, m∠U =_____,
Classify: _______________
m∠V =______
Classify: _______________
16. Find the values of the variables.
E
eo
do
o
F
32
bo
co
o
55
H
ao
G
17. What is the measure of each angle of an equilateral triangle? Explain.
18. Is every equilateral triangle isosceles? Is every isosceles triangle equilateral?
Explain.
19. Find m∠3 if m∠5 =
130 and m∠4 =
30 .
5
2
4
3
Use for #19-20
1
20. Find m∠2 if m∠3 =
125 and m∠4 =
23 .
Answer Key
1.
2.
3.
4.
5.
6.
7.
8.
9.
30
x = 70; y = 110; z = 30
t = 60; w = 60
x = 80; y = 80
70
30
60
10.
11. o
12. 99 , 81o
13. 115
14. x = 52.5; m∠A =
52.5o, m∠B = 52.5o;
acute
15. x = 37; m∠T = 65o, m∠U = 78o,
m∠V = 37o; acute
16. a = 67, b = 58, c = 125, d = 23, e = 90
17. Answers will vary.
18. Answers will vary.
19. 100o
20. 32o