# ANGLE RELATIONSHIPS WORKSHEETS

Angle Relationships Worksheets :

Worksheet given in this section is much useful to the students who would like to practice problems on angle relationships.

Before look at the worksheet, if you would like to know about the different types of angle relationships,

## Angle Relationships Worksheets - Problems

Question 1 :

Find the value of  "x" in the diagram given below.

Question 2 :

Find the value of  "x" in the diagram given below.

Question 3 :

Find the value of  "x" in the diagram given below.

Question 4 :

Find the value of  "x" in the diagram given below.

Question 5 :

Find the value of  "x" in the diagram given below.

Question 6 :

Find the value of  "x" in the diagram given below.

Question 7 :

In the diagram given below,  llines l2 are parallel and t is a transversal. Find the value of "x".

Question 8 :

In the diagram given below,  llines l2 are parallel and t is a transversal. Find the value of "x".

Question 9 :

In the diagram given below,  a lines b are parallel and t is a transversal. Find the value of "x".

Question 10 :

In the diagram given below, find the value of "x".

Let us look step by step solution for each problem given on "Angle relationships worksheets".

## Angle Relationships Worksheets - Problems

Question 1 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is very clear that the angle measures (6x + 4)° and (4x + 6)° are complementary.

So, we have

(6x + 4)° + (4x + 6)°  =  90°

6x + 4 + 4x + 6  =  90

10x + 10  =  90

Subtract 10 from both sides.

10x  =  80

Divide both sides by 10.

x  =  8

Hence, the value of "x" is 8.

Question 2 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is clear that the angle measures (4x + 7)° and (6x + 3)° are complementary.

So, we have

(4x + 7)° + (6x + 3)°  =  90°

4x + 7 + 6x + 3  =  90

10x + 10  =  90

Subtract 10 from both sides.

10x  =  80

Divide both sides by 10.

x  =  8

Hence, the value of "x" is 8.

Question 3 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is clear that (2x+3)° and (x-6)° are  supplementary angles.

So, we have

(2x + 3)° + (x - 6)°  =  180°

2x + 3 + x - 6  =  180

3x - 3  =  180

3x  =  183

x  =  61

Hence the value of "x" is 61.

Question 4 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is clear that (5x+4)°, (x-2)° and (3x+7)° are supplementary angles.

So, we have

(5x + 4)° + (x - 2)° + (3x + 7)°  =  180°

5x + 4 + x -2 + 3x + 7  =  180

9x + 9  =  180

9x  =  171

x  =  19

Hence the value of "x" is 19.

Question 5 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is clear that (3x+7)° and 100° are vertical angles.

Because (3x+7)° and 100° are vertical angles, they are congruent.

So, we have

(3x + 7)°  =  100°

3x + 7  =  100

Subtract 7 from both sides.

3x  =  93

Divide both sides by 3.

x  =  31

Hence the value of "x" is 31.

Question 6 :

Find the value of  "x" in the diagram given below.

Solution :

In the diagram above, it is clear that (x + 33)° and 98° form a linear pair.

Because the two angles of a linear pair are always supplementary, we have

(x + 33)° + 98°  =  180°

x + 33 + 98  =  180

x + 131  =  180

Subtract 131 from both sides.

x  =  49

Hence the value of "x" is 31.

Question 7 :

In the diagram given below,  llines l2 are parallel and t is a transversal. Find the value of "x".

In the above diagram, (2x + 20)° and (3x - 10)° are corresponding angles.

When two parallel lines are cut by a transversal, corresponding angles are congruent.

So, we have

(2x + 20)°  =  (3x - 10)°

2x + 20  =  3x - 10

30  =  x

Hence, the value of "x" is 30.

Question 8 :

In the diagram given below,  llines l2 are parallel and t is a transversal. Find the value of "x".

In the above diagram, (2x + 10)° and (x + 5)° are consecutive interior angles.

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary.

So, we have

(2x + 10)° + (x + 5)°  =  180°

2x + 10 + x + 5  =  180

3x + 15  =  180

Subtract 15 from both sides.

3x  =  165

Divide both sides by 3.

x  =  55

Hence, the value of "x" is 55.

Question 9 :

In the diagram given below,  a lines b are parallel and t is a transversal. Find the value of "x".

In the diagram diagram, (2x + 26)° and (3x - 33)° are alternate interior angles.

When two parallel lines are cut by a transversal, alternate interior angles are congruent.

So, we have

(2x + 26)°  =  (3x - 33)°

2x + 26  =  3x - 33

59  =  x

Hence, the value of "x" is 59.

Question 10 :

In the diagram given below, find the value of "x".

Solution :

In the diagram diagram, it is clear that AB||CD and AD||BC.

So ABCD is a parallelogram.

In a parallelogram, two consecutive angles are always supplementary.

Then, we have

x° + (2x)°  =  180°

x + 2x  =  180

3x  =  180

Divide both sides by 3.

x  =  60

Hence, the value of "x" is 60.

After having gone through the stuff given above, we hope that the students would have understood "Angle relationships worksheets"

Apart from the stuff given on "Angle relationships worksheets", if you need any other stuff in math, please use our google custom search here.

After having gone through the stuff given above, we hope that the students would have understood "Relationships between angles".

Apart from the stuff given on "How to measure an angle with protractor", if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6