Mathematics

Can two obtuse angles be supplementary?

SOLUTION
Two Angles are Supplementary when they add up to $180^\circ$.

Let us consider the least obtuse angle, i.e., $>90^\circ$ Say $91^\circ$ and add it to itself.

$91^\circ+91^\circ=182^\circ$

This is $>180^\circ$. Hence, two obtuse angles can never be supplementary.

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Subjective Medium Published on 09th 09, 2020
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