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

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

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

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