The supplement of an angle is twice as large as the angle. What does the angle measure?

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Answer 1 · 2015-11-20T17:20:33

The angle measures $60^{o}$ $60^o$ .

Let's take
angle $= A$ $=A$
its supplement $= S$ $=S$

If the two angles are supplement to each other, then
$A+S=180^o ..........eq.(i)$

Supplement is twice as large, i.e.
$S=2xxA=2A$

Therefore, $eq.(i)$ becomes
$A+2A=180^o$
$3A=180^o$
$A=180^o-:3$
$A=60^o$