Question

14. Measures of opposite angles of a parallelogram are (60-x) and (3x-4). value of x =?​

Answer 1

Given:

• Opposite angles of parallelogram are ( 60 - x ) and ( 3x - 4 )

To Find:

• The value of x

Solution:

Opposite angles of a parallelogram are equal, So

⟹ ( 60 - x ) = ( 3x - 4 )

⟹ 60 - x = 3x - 4

⟹ 60 + 4 = 3x + x

⟹ 64 = 4x

⟹ 64/4 = x

⟹ 16 = x

The value of x is 16.

Verification:

Substitute 16 in place of x in the equation.

⟹ ( 60 - x ) = ( 3x - 4 )

⟹ 60 - 16 = 3(16) - 4

⟹ 44 = 48 - 4

⟹ 44 = 44

LHS = RHS

Hence verified!

Answer 2

Step-by-step explanation:

The <A = 60 -x and <C =3x-4

the opposite angle of a parallelogram are equal

therefore, 60 -x = 3x-4

-x-3x = -4-60

-4x = -64

- x = -64/4

-x = -16

i.e , x = 16

hope it helps you