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36° is the answer
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Supplementary angles add upto 180°.
Let the unknown angle be x.
Since its supplement is 1/5th of it, so it is 1/5x.
x+1/5x=180° (LCM of 1 and 5 is 5)
(5x+x)/5=180°
6x/5=180°
6x=180°(5)
6x=900
x=900/6
x=150°
Therefore, x=150°
1/5x=30°
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