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M7+ Unit 8: Angles and Triangles STUDY GUIDE
Short Answer
1. Classify the triangle by its sides and angles.
5. Find the value of x. The diagram is not to scale.
67°
41.4 cm
41.4 cm
129°
x°
6. Given
and
, find
41.4 cm
and
not drawn to scale
7. Classify ABC by its angles, when m A = 22, m
B = 84, and m C = 74.
2. In the figure,
.
. Find the measure of
B
8. Find the values of x and y. The diagram is not to
scale.
D
50o
E
(x – 1)°
G
45°
(y + 9)°
66°
A
In the diagram a || b. Use the diagram to answer
the question.
(Diagram not to scale.)
C
a
3. Find the value of the variable. The diagram is not to
scale.
b
1
3
2
4
113°
5
7
6
8
48°
x°
4. Find the values of x, y, and z. The diagram is not to
scale.
and
?
, what is
10. Name the corresponding angle to
46°
17°
65°
9. If
the measure of
x°
11. If
z°
= 65 , what is
2.
?
y°
12. Name the alternate interior angle to
4.
13. a. Find the value of a.
b. Find the value of the marked angles.
(6a + 6)°
17. Find the value of the variable if
and
not to scale.
1
2
3
l
4
5
(3a + 66)°
6
7
14. Name two angles adjacent to
The diagram is
m
8
.
E
not drawn to scale
A
18. Line r is parallel to line t. Find m 5. The diagram
is not to scale.
C
O
r
7
131°
1
B
D
t
15. Find the measure of AED for mBEC = 66 .
B
66 o
A
E
C
D
16.
. Find the value of x for p
to be parallel to q. The diagram is not to scale.
3 4
5
p
3
6
q
1 2
4
2
5
6
M7+ Unit 8: Angles and Triangles STUDY GUIDE - CONDENSED in Word
Answer Section
SHORT ANSWER
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
equilateral, acute
50
19
62
61
acute
x = 67, y = 60
60
6
65
5
20; 126º
and
66
50
7
131