Complementary angles sum to 90°. Supplementary angles sum to 180°.
Given an angle x then the complement of x is 90 - x, and the supplement of x is 180 - x.
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The question asks for the complement of (the supplement of (80 degrees) ). We have to find the supplement of 80 first, and then find the complement of the supplement. The supplement of an angle is (180 - the angle). The complement of an angle is (90 - the angle). The supplement of 80 degrees is (180 - 80) = 100 degrees. The complement of that supplement is (90 - 100) = -10 degrees.
explement of the angle or conjugate of an angle
Angle=54oComplement: 90-54=36oSupplement: 180-54=126o
The complement of an angle can be added to that angle to get a total of 90 degrees. Therefore, if your angle was 45*, set up a simple algebra problem. 45+x=90 subtract 45, you get x=45 The complement of a 45* angle is 45*. The complement of a 30* angle is 60, etc. The supplement of an angle can be added to said angle to get a total of 180 degrees, so if your angle is 45*, set up an algebra problem (again :P). 45+x=180 subtract 45, x=135. The supplement of a 45* angle is 135*. The supplement of a 30*angle is 150*, etc. Hope this helped!