**Complementary and Supplementary Angles Worksheet Pdf :**

Worksheet given in this section will be much useful for the students who would like to practice problems on complementary and supplementary angles.

Before look at the worksheet, if you would like to learn about complementary and supplementary angles,

To download complementary and supplementary angles worksheet as pdf document,

**Problem 1 :**

The measure of an angle is 41°. What is the measure of a complementary angle ?

**Problem 2 :**

The measure of an angle is 62°. What is the measure of a complementary angle ?

**Problem 3 :**

The measure of an angle is 108°. What is the measure of a supplementary angle ?

**Problem 4 :**

The measure of an angle is 89°. What is the measure of a supplementary angle ?

**Problem 5 :**

Two angles are complementary. If one of the angles is double the other angle, find the two angles.

**Problem 6 :**

Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles.

**Problem 7 :**

Find the value of x :

**Problem 8 :**

Find the value of x :

**Problem 9 :**

Find the value of x :

**Problem 10 :**

Find the value of x :

**Problem 1 :**

The measure of an angle is 41°. What is the measure of a complementary angle ?

**Solution :**

Let x be the measure of the required complementary angle.

Because x and 41° are complementary angles,

x + 41° = 90°

Subtract 41° from each side.

x = 49°

So, the measure of the complementary angle is 49°.

**Problem 2 :**

The measure of an angle is 62°. What is the measure of a complementary angle ?

**Solution :**

Let x be the measure of the required complementary angle.

Because x and 62° are complementary angles,

x + 62° = 90°

Subtract 62° from each side.

x = 28°

So, the measure of the complementary angle is 28°.

**Problem 3 :**

The measure of an angle is 108°. What is the measure of a supplementary angle ?

**Solution :**

Let x be the measure of the required supplementary angle.

Because x and 108° are supplementary angles,

x + 108° = 180°

Subtract 108° from each side.

x = 72°

So, the measure of the supplementary angle is 72°.

**Problem 4 :**

The measure of an angle is 89°. What is the measure of a supplementary angle ?

**Solution :**

Let x be the measure of the required supplementary angle.

Because x and 41° are supplementary angles,

x + 89° = 180°

Subtract 89° from each side.

x = 91°

So, the measure of the supplementary angle is 91°.

**Problem 5 :**

Two angles are complementary. If one of the angles is double the other angle, find the two angles.

**Solution :**

Let x be one of the angles.

Then the other angle is 2x.

Because x and 2x are complementary angles, we have

x + 2x = 90°

3x = 90

Divide each side by 3.

x = 30

And,

2x = 2(30) = 60

So, the two angles are 30° and 60°.

**Problem 6 :**

Two angles are complementary. If one angle is two times the sum of other angle and 3, find the two angles.

**Solution :**

Let x and y be the two angles which are complementary.

So, we have

x + y = 90° -----> (1)

**Given :** One angle is two times the sum of other angle and 3.

Then,

x = 2(y + 3)

x = 2y + 6 ----->(2)

Now, substitute (2y + 6) for x in (1).

(1)-----> 2y + 6 + y = 90

3y + 6 = 90

Subtract 6 from each side.

3y = 84

Divide each side by 3.

y = 28

Substitute 28 for y in (2).

(2)-----> x = 2(28) + 6

x = 56 + 6

x = 62

So, the two angles are 62° and 28°.

**Problem 7 :**

Find the value of x :

**Solution :**

From the picture above, it is clear that the angles x and 2x are complementary.

Then,

x + 2x = 90

Simplify.

3x = 90

Divide each side by 3.

x = 30

So, the value of x is 30.

**Problem 8 :**

Find the value of x :

**Solution :**

From the picture above, it is clear that the angles (x+1), (x-1) and (x+3) are complementary.

Then,

(x+1) + (x-1) + (x+3) = 90

x + 1 + x - 1 + x + 3 = 90

Simplify.

3x + 3 = 90

Subtract 3 from each side.

3x = 87

Divide each side by 3.

x = 29

So, the value of x is 29.

**Problem 9 :**

Find the value of x :

**Solution :**

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

Then,

(2x+3) + (x-6) = 180

2x + 3 + x - 6 = 180

Simplify.

3x - 3 = 180

Add 3 to each side.

3x = 183

Divide each side by 3.

x = 61

So, the value of x is 61.

**Problem 10 :**

Find the value of x :

**Solution :**

From the picture above, it is clear (5x+4), (x-2) and (3x+7) are supplementary angles.

Then,

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

5x + 4 + x -2 + 3x + 7 = 180

Simplify.

9x + 9 = 180

Subtract 9 from each side.

9x = 171

Divide each side by 9.

x = 19

So, the value of x is 19.

After having gone through the stuff given above, we hope that the students would have understood complementary and supplementary angles.

Apart from the stuff given in this section, if you need any other stuff, please use our google custom search here.

HTML Comment Box is loading comments...

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 **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**