List of top Mathematics Questions on Related Angles

Find the supplement of each of the following angles:

Find the complement of each of the following angles:

State the property that is used in each of the following statements: 

1.  If \(a || b\), then \(∠1 = ∠5\). 
2.  If \(∠4 = ∠6\), then \(a || b\). 
3.  If \(∠4 + ∠5 = 180°\), then \(a || b\).

In the adjoining figure, name the following pairs of angles. 

1. Obtuse vertically opposite angles 
2.  Adjacent complementary angles 
3.  Equal supplementary angles 
4.  Unequal supplementary angles
5.  Adjacent angles that do not form a linear pair

Fill in the blanks: 

1.  If two angles are complementary, then the sum of their measures is _______. 
2.  If two angles are supplementary, then the sum of their measures is ______. 
3. If two adjacent angles are supplementary, they form a ___________.

An angle is greater than \(45\degree\) . Is its complementary angle greater than \(45\degree\) or equal to \(45\degree\) or less than \(45\degree\) ?

Can two angles be supplementary if both of them are: 

1.  acute 
2.  obtuse 
3.  right?

In the given figure, \(\angle \;1\) and \(∠  \;2\) are supplementary angles. 
If \(∠\;1\) is decreased, what changes should take place in \(∠\;2\) so that both the angles still remain supplementary?

Find the angle which is equal to its supplement.

Find the angle which is equal to its complement:

Identify which of the following pairs of angles are complementary and which are supplementary: 

1.  \(65°, 115°\)
2.  \(63°,27°\)
3. \(112°,68°\)
4.  \(130°,50°\)
5. \(45°,45°\)
6. \(80°,10°\)