MISSING ANGLES IN A PARALLELOGRAM WORKSHEET

Find the value of x that will make the shape a parallelogram and give a reason to support your answer.

Problem 1 :

Solution

Problem 2 :

Solve for x in the parallelogram given below.

Solution

Problem 3 :

Solve for x in the parallelogram given below.

Solution

Problem 4 :

Solve for x and y in the parallelogram given below.

Solution

Problem 5 :

Use the diagram of parallelogram ABCD below to answer the questions.

1) Find CD

2) Find mADB

3) Find m BDC

4) Find AC

5) Find mDCB

6) Find BE

Solution

Problem 6 :

Solve for x and y in the parallelogram given below.

Solution

Problem 7 :

Find the missing value in each of the following parallelogram.

Solution

Problem 8 :

Given that quadrilateral ABCD is a parallelogram find the values of x and y.

Solution

Problem 9 :

Find the length of CF. AB = 12, AD = 10, CE = 8.

Solution

Problem 10 :

Find the value of x that will make the shape a parallelogram  and give a reason to support your answer.

Solution

Answer Key

1)  x = 105

2)  x = 33

3)  x = 5

4)  x = 4 and y = 116

5)  (1) CD = 15  (2) ∠ADB = 28  (3)  ∠BDC = 36

(4)  BC = 12  (5)  ∠DCB = 116   (6)  BE = 10

6)  x = 38 and y = 33

7)  x = 9, y = 6 and z = 11.5

8)  x = 31/4 and y = 68

9)  CF = 9.6

10)  x = 5

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