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Angles in Quadrilaterals

Total questions: 20

Worksheet time: 42mins

Name
Class
Date
1.
Two consecutive angles in a parallelogram have measures of 3x-2 and 4x+7. What is the value of x?
a)
-9
b)
26
c)
25
d)
5
2.
What is the value of angle F?
a)
9
b)
12
c)
90
d)
110
3.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
4.
Trapezoid QRST is isosceles, where QR = TS. What is the m<R?
a)
130⁰
b)
12⁰
c)
-28⁰
d)
-190⁰
5.
The opposite angles of a parallelogram will always:
a)
be complementary
b)
be supplementary
c)
be congruent
d)
have a sum of 360 degrees
6.
Which of the following shapes is not a quadrilateral?
a)
trapezoid
b)
triangle
c)
parallelogram
d)
rhombus
7.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

8.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

9.
a)

28°

b)

52°

c)

80°

d)

128°

10.

Find the size of angle x

a)

210o

b)

240o

c)

150o

d)

140o

11.

Find the size of angle x

a)

74o

b)

106o

c)

109o

d)

35o

12.

Find the size of angle x

a)

87o

b)

113o

c)

100o

d)

67o

13.

Find the size of angle x

a)

104o

b)

25o

c)

19o

d)

256o

14.

Which of these could not be the interior angles of a quadrilateral?

a)

63o, 77o, 42o, 205o

b)

108o, 54o, 145o, 53o

c)

140o, 50o, 145o, 25o

d)

82o, 65o, 102o, 110o

15.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
16.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
17.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
18.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
19.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
20.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28