Question

The opposite angle of a parallelogram are(3x-2) and (50-x),find measure of all angles of a parallelogram.

Answer 1

(3x-2)+(50-x)=180
2x+48=180
2x=180-48
2x=132
x=132/2
x=66

Answer 2

As We all know that Opposite angles are equal and Sum of all angles is equal to 360°

Given Angles.. 50- x ................ (1)
                        3x - 2 ................ (2)

So 3x-2 + 3x-2 + 50 - x + 50 - x = 360

6x -2x + 100-4 = 360

4x + 96 = 360

4x = 360 - 96 = 264

x = 264/4 

x = 66

Putting the Value of X in Equation 1 and 2 we get 

3*66-2 = 196

and other angle is 50 - 66 that is -16

so Angles are 196,-16,196,-16

Proof  196-16+196-16 = 360
360 = 360

RHS = LHS

Hence our answer is correct