SOLUTION: THE COMPLEMENT AND SUPPLEMENT OF A 27 DEGREE ANGLE WHATS ANOTHER NAME FOR ANGLE ABC

Algebra ->  Angles -> SOLUTION: THE COMPLEMENT AND SUPPLEMENT OF A 27 DEGREE ANGLE WHATS ANOTHER NAME FOR ANGLE ABC       Log On


   

Question 666029: THE COMPLEMENT AND SUPPLEMENT OF A 27 DEGREE ANGLE
WHATS ANOTHER NAME FOR ANGLE ABC
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

An angle and its complement add to a right angle.
An angle and its supplement add to a straight angle.
Since a right angle is 90 degrees and a straight angle is 180 degrees, the measures of the complement and supplement are:
The complement of an angle x+degrees is 90+-+x degrees.
The supplement of an angle x degrees is 180+-+x degrees.

so, letting the complement be "x", we can apply the definition of complementary angles and say that
+x+=+90-27
x+=+63 (degrees)

and the supplement is
+x+=+180+-27
x+=+153(degrees)