Download Properties of Parallelograms

Name _________________________________ Period _________ Date ______________
Parallelograms
Problems #1-7 refer to the diagram at the right. ABCD is a parallelogram.
Find the indicated lengths, angle measures, or value of x.
A
________1. If mADC = 83°, then mDAB = ? .
1
B
2
_______2. If AD = 23, then CB = ? .
E
_______3. If m3 = 65° and m4 = 48°, then m2 = ? .
3
4
D
C
_______4. If AE = 8x + 7 and CE = 11x – 8, then x = ?
_______5. If DC = 17 – 4x and AB = 3x – 11, then x = ? .
_______6. If ED = 3x + 6 and DB = 48, then x = ? .
_______7. If mDAB + mBCD = 214° and mABC = x, then x = ? .
Quadrilateral RSTW is a parallelogram. Complete each statement.
_______8.
RW ||
? .
S
6
_______9. RST   ? .
_______10.
SZ
76
8
_______12. STW is supplementary to  ? .
_______13. RWS   ? .
3
Z
 ? .
_______11. 6   ? .
T
4
5
R
1
2
W
Find values of the variables in each parallelogram.
Show all of your work!
14.
x°
15.
y°
64°
50°
y°
39
16.
x°
28
75°
z°
17.
7y
y°
47°
81°
32°
x°
5x + 14
y°
18.
19.
(3y)°
(2x)° (3x)°
x+y
20.
(5x)°
y°
21.
4y + 7
17
8x
13x - 60
3x  1
31
5y
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22.
31°
(6x + 3)°
98°
24.
2x + 5y
(4y + 2)°
23.
(9y + 1)°
52°
(8x  10)°
25.
Y2
2x + 2y
x2
18
2x + 15
20
30
62°
14  9y
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