# If two angles are supplementary, then their sum is

$

{\text{A}}{\text{. 9}}{{\text{0}}^0} \\

{\text{B}}{\text{. 18}}{{\text{0}}^0} \\

{\text{C}}{\text{. 27}}{{\text{0}}^0} \\

{\text{D}}{\text{. 36}}{{\text{0}}^0} \\

$

Answer

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Hint – If two angles are supplementary then they always form a straight line, use this concept to reach the solution of the problem.

Let AB be a straight line.

And let P and Q are two angles.

As we know the condition of supplementary angle which is, two angle make a supplementary angle if the sum of two angles is ${180^0}$.

$ \Rightarrow \angle P + \angle Q = {180^0}$(on a straight line the sum of angle is ${180^0}$)

Hence, option (B) is correct.

Note – In such types of questions always recall the property of supplementary angle which is that the sum of two angles always make ${180^0}$, or we can also say that two right angle also make a supplementary angle, and we can also say that two supplementary angle always form a straight line.

Let AB be a straight line.

And let P and Q are two angles.

As we know the condition of supplementary angle which is, two angle make a supplementary angle if the sum of two angles is ${180^0}$.

$ \Rightarrow \angle P + \angle Q = {180^0}$(on a straight line the sum of angle is ${180^0}$)

Hence, option (B) is correct.

Note – In such types of questions always recall the property of supplementary angle which is that the sum of two angles always make ${180^0}$, or we can also say that two right angle also make a supplementary angle, and we can also say that two supplementary angle always form a straight line.

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