Supplementary, Complementary Angles and Linear Pair Axiom

Q.

Find an angle which is two-thirds of its complement.

1. ${36}^{\circ }$

2. ${54}^{\circ }$

3. ${18}^{\circ }$

4. ${66}^{\circ }$

Q.

Two acute angles cannot form a pair of supplementary angles. Justify.

Q.

Find the supplementary angle of $40°$.

Q.

Question 13
In the given figure, POR is a line. The value of a is

(a) ${40}^{\circ }$
(b) ${45}^{\circ }$
(c) ${55}^{\circ }$
(d) ${60}^{\circ }$

Q.

If two complementary angles are in the ratio 1:5, find the angles.

1. ${16}^{\circ },{80}^{\circ }$

2. ${30}^{\circ },{150}^{\circ }$

3. ${75}^{\circ },{15}^{\circ }$

4. ${35}^{\circ },{55}^{\circ }$

Q. Find the angle which exceeds its supplement by 44.

1. ${112}^{\circ }$
2. ${100}^{\circ }$
3. ${101}^{\circ }$
4. ${110}^{\circ }$

Q.

The angles between North and West and South and East are -

1. complementary

2. supplementary

3. both are acute

4. both are obtuse

Q.

If the sum of measure of two angles is $180°$, then the angles are called __________ angles.

Q.

Angle ${30}^{\circ }$ and twice of another angle x are supplementary angles. Find the value of x (in degrees).

Ans:___

Q. Lines AB and CD interesct at O. If $\angle$AOC = ${135}^{\circ }$, then $\frac{\angle BOC}{3}$ = .

1. ${65}^{\circ }$
2. ${20}^{\circ }$
3. ${15}^{\circ }$

Q.

The angles $\angle 1,\angle 2,\angle 3,\angle 4$ are in the ratio 1 : 2: 3: 4. The measure of the largest angle is ___ degrees.

Q.

Can two acute angles be supplementary

Q. At the intersection of two lines, out of four angles formed, two adjacent angles are equal. Find all the angles.

1. ${60}^{\circ }$, ${60}^{\circ }$, ${120}^{\circ }$, ${120}^{\circ }$
2. ${180}^{\circ }$, ${180}^{\circ }$, $0^{\circ }$, $0^{\circ }$
3. ${90}^{\circ }$, ${90}^{\circ }$, ${90}^{\circ }$, ${90}^{\circ }$
4. ${45}^{\circ }$, ${45}^{\circ }$, ${135}^{\circ }$, ${135}^{\circ }$

Q.

Angles that are both supplementary and vertically opposite are

1. $95°,85°$

2. $90°,90°$

3. $100°,80°$

4. $45°,45°$

Q.

Two obtuse angles are supplementary angles.

1. True

2. False

Q.

Find the angle which is equal to its supplement.

1. ${65}^{\circ }$

2. ${45}^{\circ }$

3. ${180}^{\circ }$

4. ${90}^{\circ }$

Q.

Question 13 (ii)
If two angles are supplementary, then the sum of their measures is ___.

Q.

Find the complementary angle of$(15+y)°$.

Q. Find the measures of an angle if $6$ times its complement is $12$ less than twice its supplement.

Q.

In the figure below, a ray OC extends from a point O on a straight line AB. If $\angle$AOC = ${135}^{\circ }$, then $\left(\frac{\angle BOC}{3}\right)$ is equal to :

1. 

2. 

3. 

4. 

Q.

In the given figure AB and CD are two lines intersecting at O. If $\angle AOC$ and $\angle BOC$ are in ratio 2 : 3, find all angles.

1. ${72}^{\circ },{108}^{\circ },{108}^{\circ },{72}^{\circ }$
2. ${45}^{\circ },{100}^{\circ },{100}^{\circ },{45}^{\circ }$
3. ${30}^{\circ },{120}^{\circ },{30}^{\circ },{120}^{\circ }$
4. ${50}^{\circ },{120}^{\circ },{50}^{\circ },{120}^{\circ }$

Q.

In the figure below, lines RS and PQ intersect each other at point O. If $\angle POR$ : $\angle ROQ$ = 11:13, find $\angle SOQ$.

1. 

2. 

3. 

4. 

Q.

An angle is equal to one-third of its supplement. Find its measure in degrees.

___

Q.

Is supplementary of an acute be obtuse?

1. True
2. False

Q.

In figure given below, Find the value of $\angle$1 + $\angle$2.

1. 180${}^{\circ }$
2. 270${}^{\circ }$
3. 190${}^{\circ }$
4. Insufficient Data

Q.

In the given figure, $\angle AOCand\angle BOC$ form a linear pair. Determine the value of x.

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

2. ${35}^{\circ }$

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

4. None of these

Q.

The supplement of an angle is 24 less than 5 times the angle. Find the measure of the supplement.

1. ${136}^{\circ }$

2. ${146}^{\circ }$

3. ${126}^{\circ }$

4. ${116}^{\circ }$