Sagot :
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.
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.
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.