find the value of the  angle, if its supplementary angle is 2/3 times of it.

Please find below the solution to the asked query:

Let our angle =  x , So  It's supplementary angle  =  180$°$ - x      (  As we know If sum of two angles is 180$°$ so they are supplementary to each other )

Given condition : Its supplementary angle is $\frac{2}{3}$ times of it. So

$\frac{2}{3}$ x  =   180$°$ - x   ,

2 x = 540$°$ -  3 x  ,

5 x  = 540$°$ ,

x  = 108$°$

Therefore,

Our required angle  = 108$°$                                           ( Ans )

Hope this information will clear your doubts about topic.