Question

Find angle which is double of its supplement.

Answer 1

Let the angle be x
then ,
double angle be 2x
so,
x+2x=180
3x = 180
x=180/3
x=60
hence, x=60 and 2x = 2×60=120

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Answer 2

Answer:-

$Let\ the\ measure\ of\ the\ required\ angle\ be\ x°.$

$Then,\ measure\ of\ its\ supplement\ =\ (180\ -\ x)°.$

$Clearly,\ x\ =\ 2(180\ -\ x)\ →\ x\ = 360 -\ 2x$

$→\ 3x\ =\ 360\ →\ x\ =\ 120.$

$Hence,\ the\ required\ angle\ measures\ 120°.$

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