# FIND 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 :

Problem 2 :

Solve for x in the parallelogram given below.

Problem 3 :

Solve for x in the parallelogram given below.

Problem 4 :

Solve for x and y in the parallelogram given below.

Problem 5 :

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

 1) Find CD2) Find m∠ADB3) Find m ∠BDC 4) Find AC5) Find m∠DCB6) Find BE

Problem 6 :

Solve for x and y in the parallelogram given below.

Problem 7 :

Find the missing value in each of the following parallelogram.

Problem 8 :

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

Problem 9 :

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

Problem 10 :

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

Solution

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

Problem 1 :

From the parallelogram given below, find the value of x, y and z.

Problem 2 :

If one angle of a parallelogram is 24 degree less than twice the smallest angle then, find the largest angle of the parallelogram.

Problem 3 :

In a parallelogram PQRS, if

∠P = (3x − 5)° and ∠Q = (2x + 15)°

then find the value of x.

Problem 4 :

If PQRS is a parallelogram, then ∠P − ∠R is

(a) 90° (b) 45° (c) 60° (d) 0°

Problem 5 :

Two adjacent angles of a parallelogram are 3x - 4 and 3x + 10. Find the angles of parallelogram.

Problem 6 :

One angle of a parallelogram is 60 degree. Find its opposite angle and the adjacent angle.

Solution

1)  x = z = 40 and y = 40

2) largest angle measure = 112.

3)  x = 34

4)  ∠P − ∠R = 0

5)  angles are 83 and 97.

6) Adjacent angle = 120, opposite angle = 60

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