MISSING ANGLES IN A PARALLELOGRAM WORKSHEET

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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

Find the value(s) of the variable(s) in each parallelogram

Problem 11 :

missing-angles-of-parallelogram-q9.png

Solution

Problem 12 :

missing-angles-of-parallelogram-q10.png

Solution

Problem 13 :

What are the values of x and y in the parallelogram?

  • How are the angles related?
  • Which variable should you solve for first?
missing-angles-of-parallelogram-q11.png

Solution

Problem 14 :

missing-angles-of-parallelogram-q12.png

Solution

Problem 15 :

Two consecutive angles in a parallelogram have measures x + 5 and 4x - 10. Find the measure of the smaller angle.

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

11) the value of a is 20.

12)  the value of a is 17

13) x = 15 and y = 45

14) the value of a is 6.

15)  the smaller angel is 42 degree.

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