Complementary Angles

Q.

Find the angle which is four times its complement.

Q.

The complement of ${40}^{\circ }$ is:

1. ${45}^{\circ }$

2. ${50}^{\circ }$

3. ${140}^{\circ }$

4. ${80}^{\circ }$

Q.

Find the complement of following angles:

$89°$

Q.

Two angles whose measures add to ${90}^{\circ }$ are called ___ angles.

Q.

When the sum of measures of two angles is that of a straight angle , one of them should be _______ or __________

Q.

The complementary angle of the angle given in the figure is _____.

1. 

2. 

3. 

4. 

Q.

The sum of two acute angles is always an obtuse angle.

1. True
2. False

Q.

If 30% of an angle is the complement of ${15}^{\circ }$, then the angle is ______ .

1. ${60}^{\circ }$
2. ${75}^{\circ }$
3. ${125}^{\circ }$
4. ${250}^{\circ }$

Q.

The complement of an angle which is two-fifths of ${90}^{\circ }$ is

1. ${24}^{\circ }$

2. ${90}^{\circ }$

3. ${36}^{\circ }$

4. ${54}^{\circ }$

Q.

Find the measure of the angle whose complement is ${89}^{\circ }$.

1. $6^{\circ }$

2. $5^{\circ }$

3. ${90}^{\circ }$

4. $1^{\circ }$

Q.

Fill in the blank:

The complement of an acute angle is ________ angle.

Q. If two complementary angles measure $(2x-7{)}^{\circ }$ and $(x+4{)}^{\circ }$, then x = ___.

1. ${34}^{\circ }$

2. ${33}^{\circ }$

3. ${31}^{\circ }$

4. ${30}^{\circ }$

Q. Find the measure of an angle which is equal to its complement.

1. ${15}^{\circ }$
2. ${30}^{\circ }$
3. ${45}^{\circ }$
4. ${60}^{\circ }$

Q. An angle is ${14}^{\circ }$ more than its complement. Then the measure of the angle is ___.

1. ${38}^{\circ }$

2. 40

3. ${52}^{\circ }$

4. 50

Q.

Question 3 (ii)
Identify which of the following pairs of angles are complementary and which are supplementary:
${63}^{\circ },{27}^{\circ }$

Q. If the angles $(2x-10{)}^o$ and $(x-5{)}^o$ are complementary angles, find $x$.

1. ${35}^o$
2. ${55}^o$
3. ${45}^o$
4. $Noneofthese$

Q. Find the measure of complementary and supplementary angles and fill the table:

	Measure of angle	Measure of its complementary angle	Measure of its supplementary angle
(1)	${72}^{\circ }$
(2)	${50}^{\circ }$
(3)	${80}^{\circ }$
(4)	${87}^{\circ }$
(5)	${36}^{\circ }$
(6)	${25}^{\circ }$
(7)	${48}^{\circ }$
(8)	${67}^{\circ }$
(9)	${34}^{\circ }$
(10)	${71}^{\circ }$

Q. If $\angle A$ is complement to ${30}^o$ and $\angle B$ is supplement to ${120}^o$ then:

1. $\angle A<\angle B$
2. Incomparable
3. $\angle A=\angle B$
4. $\angle A>\angle B$

Q.

Find the supplement of $\frac{3}{4}of160°$

Q.

The complementary angle of the angle given in the figure is -

1. 

2. 

3. 

4. 

Q. If an angle measures ${60}^{\circ }$, its complementary angle will measure.

1. ${60}^{\circ }$
2. ${120}^{\circ }$
3. ${30}^{\circ }$

Q. The angle which is one fifth of its complement is

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. ${15}^{\circ }$

Q. Which has a greater measure:
(i) an angle complementary to ${15}^{\circ }$
(ii) an angle supplementary to ${125}^{\circ }$

1. (i)
2. Both are Equal
3. (ii)
4. Both (i) and (ii) are equal.

Q. From the following pair of angles, which pair is of complementary angle and which pair is of supplementary angle?
(1) ${27}^{\circ },{63}^{\circ }$ (2) ${110}^{\circ },{70}^{\circ }$ (3) $7^{\circ },{83}^{\circ }$
(4) ${135}^{\circ },{45}^{\circ }$ (5) ${58}^{\circ },{32}^{\circ }$ (6) ${52}^{\circ },{128}^{\circ }$.

Q.

Find the measure of the angle whose complement is ${75}^{\circ }$.

1. ${11}^{\circ }$

2. ${15}^{\circ }$

3. ${30}^{\circ }$

4. ${25}^{\circ }$

Q. The angle which exceeds its complement by ${20}^{\circ }$ is

1. ${45}^{\circ }$
2. ${55}^{\circ }$
3. ${70}^{\circ }$
4. ${110}^{\circ }$

Q.

What is the measure of complement of an angle whose measure is $67°$

Q.

The measure of the angle whose supplement is 179° is ____.

Q. Complementary angles

Q.

Find the complement of following angles:

$13°$