Q. 23.7( 3 Votes )

If the supplement

Answer :

Let the angle be x.

We know that supplement of an angle is given by,


Supplement angle = 180 – x


Complement angle = 90 – x


According to the question, we have that supplementary angle is four times of its complementary angle. So, we get


Supplementary angle = 4 (complementary angle)


180 – x = 4 (90 – x)


180 – x = 360 – 4x


4x – x = 360 – 180


3x = 180



x = 60


Also, supplementary angle = (180° - x)


Supplementary angle = 180° - 60°


Supplementary angle = 120°


Complementary angle = 90° - 60°


Complementary angle = 30°


Thus, the angle is 60°.


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