Suppose the angle is x degrees.
Then supplementary angle = 180 - x
and compementary = 90 - x
So, 180 - x = 4*(90 - x)
ie 180 - x = 360 - 4x
or 3x = 180 or x = 60 degrees.
Chat with our AI personalities
No? Wouldn't they then be supplementary? Opposite rays make a straight angle/line, and if the exterior sides made the straight angle, the adjacent angles would be supplementary. ...Right?
An angle that is supplementary to angle BGC is an angle that, when added to angle BGC, results in a sum of 180 degrees. In this case, the supplementary angle to BGC would be angle AGD, where angles BGC and AGD add up to 180 degrees. Supplementary angles are a pair of angles whose measures sum up to 180 degrees.
Two angles whose sum is 180 degrees are supplementary. If it is 90 degrees then they are complementary.
The term supplementary angle is used to refer to angles whose sum is 180 degrees. This is different from complementary angles which add up to 90 degrees.
180-105 = 75