FIND MISSING ANGLES OF 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 m∠ADB

3) Find m ∠BDC

4) Find AC

5) Find m∠DCB

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 :

Solution

Problem 12 :

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?

Solution

Problem 14 :

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.

Problem 1 :

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

Solution

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.

Solution

Problem 3 :

In a parallelogram PQRS, if

∠P = (3x − 5)° and ∠Q = (2x + 15)°

then find the value of x.

Solution

Problem 4 :

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

(a) 90° (b) 45° (c) 60° (d) 0°

Solution

Problem 5 :

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

Solution

Problem 6 :

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

Solution

Problem 7 :

Find the indicated measure in parallelogram MNOP, explain your reasoning.

a) PO

b) QO

c) NO

d) PQ

e) m∠PMN

f) m∠NOP

g) m∠OPM

h) m∠NMO

Solution

Find the value of each of the variable in the parallelogram.

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

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

Solution

Problem 11 :

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 = 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

a) PO = 24 units

b) OQ = 14 units

c) NO = 26 units

d) PQ = 20.7 units

e) m∠PMN = 112

f) m∠NOM = 53

g) m∠OPM = 68

h) m∠NMO = 59 (Alternate interior angles are equal)

8) u = 66 and v = 38

9) a = 7 and b = 41

10) a = 20

11) the smaller angle measure is 32 degree.

FIND MISSING ANGLES OF PARALLELOGRAM WORKSHEET

Answer Key

Answer Key

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