Given that,
Supplement = \(\frac{2}{3}\) of the angle itself
Let the angle be x
Therefore,
Supplement = (180° – x)
According to the question
(180° – x) = \(\frac{2}{3}\)x
540° - 3x = 2x
5x = 540°
x = 108°
Hence, supplement = 72°
Therefore, the angle will be 108° and its supplement will be 72°.