Answer

Verified

332.4k+ views

Hint: - Condition of supplementary angle is that sum of two angles is equal to ${180^0}$

As we know that the condition of supplementary angle is

Sum of two angles is equal to ${180^0}$. Let A and B are two angles such that,

$ \Rightarrow \angle A + \angle B = {180^0}$

$\left( i \right)$Acute angle

As we know that acute angle is always less than ${90^0}$. So, the sum of two acute angle can never make ${180^0}$

Therefore the condition of acute angle is

Sum of two angles is less than${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B < {180^0}$

$\therefore $Sum of two acute angles cannot make a supplementary angle.

$\left( {ii} \right)$Obtuse angle

As we know that obtuse angle is always greater than ${90^0}$. So, the sum of two obtuse angles always makes greater than ${180^0}$.

Therefore the condition of obtuse angle is

Sum of two angles is greater than${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B > {180^0}$

$\therefore $Sum of two obtuse angles cannot make a supplementary angle.

$\left( {iii} \right)$Right angle

As we know that the right angle is always equal to ${90^0}$. So, the sum of two right angles is always equal to ${180^0}$.

The condition of right angle is

Sum of two angles is equal to${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B = {180^0}$

$\therefore $Sum of two right angles always makes a supplementary angle.

Note: - In such types of questions always remember the condition of supplementary, acute, obtuse and right angles respectively, then we can easily find out which two angles makes a supplementary angle.

As we know that the condition of supplementary angle is

Sum of two angles is equal to ${180^0}$. Let A and B are two angles such that,

$ \Rightarrow \angle A + \angle B = {180^0}$

$\left( i \right)$Acute angle

As we know that acute angle is always less than ${90^0}$. So, the sum of two acute angle can never make ${180^0}$

Therefore the condition of acute angle is

Sum of two angles is less than${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B < {180^0}$

$\therefore $Sum of two acute angles cannot make a supplementary angle.

$\left( {ii} \right)$Obtuse angle

As we know that obtuse angle is always greater than ${90^0}$. So, the sum of two obtuse angles always makes greater than ${180^0}$.

Therefore the condition of obtuse angle is

Sum of two angles is greater than${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B > {180^0}$

$\therefore $Sum of two obtuse angles cannot make a supplementary angle.

$\left( {iii} \right)$Right angle

As we know that the right angle is always equal to ${90^0}$. So, the sum of two right angles is always equal to ${180^0}$.

The condition of right angle is

Sum of two angles is equal to${180^0}$. Let A and B are two angles such that

$ \Rightarrow \angle A + \angle B = {180^0}$

$\therefore $Sum of two right angles always makes a supplementary angle.

Note: - In such types of questions always remember the condition of supplementary, acute, obtuse and right angles respectively, then we can easily find out which two angles makes a supplementary angle.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Two charges are placed at a certain distance apart class 12 physics CBSE

Difference Between Plant Cell and Animal Cell

What organs are located on the left side of your body class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

The planet nearest to earth is A Mercury B Venus C class 6 social science CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

What is BLO What is the full form of BLO class 8 social science CBSE