Question:
If the supplement of an angle is two third of itself. Determine the angle and its supplement?
Solution:
Supplementary of an angle = 2/3 angle
Let the angle in case be 'x',
Supplementary of angle x will be (180 - x)
It is given that
180 - x = 2/3 x
(180 - x) 3 = 2x
540 - 3x = 2x
5x = 540
x = 540/5
x = 108
Hence, supplementary angle = 180 - 108 = 72
Therefore, angles in case are 108° and supplementary angle is 72°