Supplementary Angle

Q.

Assertion : Sum of the pair of angles (like ${120}^{\circ },{60}^{\circ }$ ) is supplementary.
Reason : Two angles, the sum of whose measures is $180°$, are called supplementary angles.
Which of the following is correct.

1. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. If Assertion is correct but Reason is incorrect.

4. If Assertion is incorrect but Reason is correct.

Q. Consider the following statements:

Statement I: One of the supplementary angles is always an obtuse angle.

Statement II: One of the complementary angles is always an acute angle.

1. Only Statement I is correct.
2. Only Statement II is correct.
3. Both the statements are corrent.
4. None of the above.

Q. Two angles are supplementary to each other. One angle is thrice the other. Find the angles.

1. ${45}^o$
2. ${50}^o$
3. ${100}^o$
4. ${135}^o$

Q. Is it necessary that supplementary angles should be adjacent to each other? Answer in Yes/No.

Q. Choose the correct pair of supplementary angles.

1. ${160}^{\circ }$
2. ${90}^{\circ }$
3. ${40}^{\circ }$
4. ${20}^{\circ }$
5. ${140}^{\circ }$
6. ${90}^{\circ }$
7. ${150}^{\circ }$
8. ${10}^{\circ }$
9. ${30}^{\circ }$
10. ${170}^{\circ }$

Q. What measure of angle must be subtracted from ${183}^o$ to make it a supplementary angle of one-third of the given angle?

1. ${119}^o$
2. ${64}^o$
3. ${61}^o$