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 )
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 )