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#.

Let's take
angle#=A#
its supplement#=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#