In ABCD Parallelogram, CD=(2x+1)cm and AB=(3x-2)cm, angle DAC = 60 degree, angle ABC = 105 degree. So angle CAB =?and Find the value of x

Answer :

From given information ,we have our figure As :

We know Sum of two adjacent angles in parallelogram is 180°
So,
ABC  +  BAD  =  180°
Then
ABC  +  BAC  + CAB =  180°  ( Here   BAD  = BAC  + CAB  )

105°  + 60°  + CAB =  180° 

CAB = 15°  ( Ans )

We know opposite sides of parallelogram are equal in length , So

3x -  2  = 2x +  1 

x  =  3  ( Ans )

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CAB=15 AND

THE VALUE OF X IS -1

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