Question

the supplement of an angle is one eighth of itself determine the angle and itself

Answer 1

Sum of an angle and its supplement is 180^o.
Let the angle be 8x^o.
So, its supplement will measure x^o

Therefore, 8x + x = 180
⇒ 9x = 180
⇒ x = 20
∴ 8x = 160
Thus, the required angle is 160^o and its supplement measures 20^o.