# The measure of its supplement is thrice of its complement

2
by vnicol43

2015-02-09T16:16:49+08:00
It's not thrice but twice because the measure of its supplement is twice to its complement which is 90 deg.thats why the measure of its supplementary is 180 deg.
2015-02-09T23:15:25+08:00

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Does the question ask, "find an angle in which it's supplement is thrice it's complement?" If that is the case, then here it is.

Let x be the angle.

3 ( 90 - x ) = 180 - x
270 - 3x = 180 - x
270 - 3x + x = 180
270 - 2x = 180
-2x = 180 - 270
-2x = -90
x = 45 degrees
Check: The complement of 45 degrees is 45 degrees. The supplement of 45 degrees is 135 degrees. 135 is indeed thrice 45.

Therefore, the angle if 45 degrees.