Question

measures of opposite angles of parallelogram (60-x) degree (3x-4) degree.find the value of x
plz say correct answers​

Answer 1

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Let ABCD be a parallelogram, with ∠A = (60 - x )° and∠C = (3x - 4) .

We know that in a parallelogram, the opposite angles are equal.

Using this concept we get :

$60 - x = 3x - 4 \\ \\ = > - x - 3x = - 4 - 60 \\ \\ = > - 4x = - 64 \\ \\ = > 4x = 64 \\ \\ = > x = \frac{64}{4} \\ \\ = > x = 16$

Now putting back the value of x in ( 60 - x ) and ( 3x - 4 )

$60 - 16 \\ \\ = 44 \: degree \\ \\ 3(16) - 4 \\ \\ = 48 - 4 \\ \\ = 44 \: degree$

Thnku!

Answer 2

Step-by-step explanation:

Sum of opposite< of //gm = 180°

so ,

(60-x) + (3x-4) = 180°

60 - x + 3x - 4 = 180°

56 + 2x = 180°

2x = 180 - 56

2x = 124°

$x = \frac{124}{2}$

x = 62°