Find the angle which is equal to its supplement

In basic trigonometry to find the angle which is equal to its supplement we need to understand what are supplementary angles.

Equal supplementary angles theorem

A supplementary angle is an angle which when added to another angle gives a total of 180 degree.

so supplementary of angle X degree= (180- X ) degree

Now we need to find a supplementary angle which is equal to X.

So in our case

X and its supplement ( 180 -X) are equal

X = (180-X)

2X= 180

X= 180/2

X= 90 Degree

Therefore The angle which is equal to its supplement is 90 Degree

Steps to solve similar problems:

If a question asks you to find supplementary angle then let x and y be the angles and then put their sum is 180 degrees

Similarly for complementary you seen to set the sum = 90 and then solve the equation.

For supplementary Y will be 180 – X

For complementary Y will be 90 -X

From the above equations you can find the value of X.

FAQ

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