Find the angle which is supplementary to itself?

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60O

45O

120O

90O

answer is D.

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Detailed Solution

To understand the solution first understand the concept of supplementary angles.
A detailed concept and solution is given below.
Concept- Supplementary angles: Two angles are said to be supplementary when their sum is equal to 180o.
Also we are required to know the concept of solving linear equations in one variable.
It is asked to find an angle which is supplementary to itself.
So, Let that angle be x.
As the supplementary angle of this angle is equal to the angle itself therefore the angle supplement to x will be x itself.
Shown below is the figure representing the same.
Question Image

It is known that the sum of the supplementary angles is equal to 180o
Therefore adding “x” with “x” will be equals to 180o
⇒2x=180O
Dividing 2 on both the sides we get,
⇒x=90o
From the above mentioned solution, the value of x is determined, which is the angle that is asked for.
So, the angle is supplementary of itself and is equal to 90o
Hence, the correct option is 4.

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