Complementary Angles

Q. Question 4
Find the angle which is equal to its complement:

Q. The difference in the measures of two complementary angles is 12°.find the measures of the angles?

Q. Question 8
An angle is greater than 45. Is it's complementary angle greater than 45 or equal to 45 or less than 45?

Q. If the sum of the measures of two angles is 90 degrees, then what are they called?

1. Right Angles
2. Complementary Angles
3. Supplementary Angles
4. Adjacant Angles

Q. What will be the complementary angle of ${45}^{\circ }$. Are they equal?

1. ${45}^{\circ }$ , Yes
2. ${55}^{\circ }$ , Yes
3. ${135}^{\circ }$ , No
4. ${55}^{\circ }$ , No

Q.

Two complementary angles differ by ${20}^{\circ }$. Find the measure of the angle.

Q.

If two angles are complementary to each other, then each angle is an acute angle.

1. True

2. False

Q.

If the difference of two complementary angles is ${30}^{\circ }$, then find the angles.

1. ${30}^{\circ }$ and ${60}^{\circ }$
2. ${35}^{\circ }$ and ${60}^{\circ }$
3. ${25}^{\circ }$ and ${55}^{\circ }$
4. ${20}^{\circ }$ and ${70}^{\circ }$

Q.

An angle is equal to five times its complement. Determine its measure. [2 MARKS]

Q.

Question 58

State whether the statement is True or False.

One obtuse angle and one acute angle can make a pair of complementary angles

Q. Question 2
Angles between South and West and South and East are
(a) Vertically opposite angles
(b) complementary angles
(c) making a linear pair
(d) adjacent but not supplementary

Q.

Find the measure of the angle which is double of its complementary angle.

1. $60°$

2. $30°$

3. $45°$

4. $120°$

Q.

Question 1 (iii)
Find the complement of each of the following angles:

Q.

Two complementary angle are (x+4)°and(2x-7)°.find the value of x.

Q. In $\Delta ABC,AB=AC,\angle A={40}^{\circ },O$ is a point inside $\Delta ABC$ such that $\angle OBC=\angle OCA$. Find the measure of $\angle BOC.$

1. ${110}^{\circ }$
2. ${35}^{\circ }$
3. ${140}^{\circ }$
4. ${155}^{\circ }$

Q.

The angles 'x' and '${90}^{\circ }$ - x' are :

1. vertically opposite angles

2. making a linear pair

3. supplementary angles

4. complementary angles

Q.

Question 6

In a triangle, one angle is of ${90}^{\circ }$. Then,

i) The other two angles are ${45}^{\circ }$ each.
ii) In remaining two angles, one angle is ${90}^{\circ }$ and other is ${45}^{\circ }$
iii) Remaining two angles are complementary

In the given option(s) which is true?

a) (i) only
b) (ii) only
c) (iii) only
d) (i) and (ii)

Q. Question 4
If the complement of an angle is ${79}^{\circ }$ then the angle will be of
(a) $1^{\circ }$
(b) ${11}^{\circ }$
(c) ${79}^{\circ }$
(d) ${101}^{\circ }$

Q.

One of the complementary angle is ${35}^{\circ }$, find the other angle.

Q.

Question 54

Fill in the blanks to make the statement true.

In a pair of complementary angles, each angle cannot be more than ___ .

Q.

$(y-{20}^{\circ })$ and $(y+{30}^{\circ })$ are the measures of complementary angles. Find the measure of each angle.

Q. Which of the following is complement of angle (90° - a)?

1. a
2. 180° - a
3. 90° + a
4. 180° + a

Q.

Find the complement of the following angle, $27°?$

Q.

Find the complement of the following angles: $(x+22)°$

Q.

Write the supplement of angle $73°$.

Q.

Write the supplement of angle $165°$.

Q.

An angle is equal to its complement. What is its magnitude ?

Q. If two complementary angles measure x and 2x + 15, find the measure of each angle.

1. ${25}^{\circ }$ and ${65}^{\circ }$
2. ${15}^{\circ }$ and ${75}^{\circ }$
3. ${22.5}^{\circ }$ and ${67.5}^{\circ }$
4. ${20}^{\circ }$ and ${70}^{\circ }$

Q. Two angles are called ______ angles if the sum of their measures equals 90°.

1. supplementary
2. complementary
3. right
4. straight

Q.

Question 95

Measures (in degrees) of two complementary angles are two consecutive even integers. Find the angles.