Question

The opposite angles of a parallelogram are (2x-3)◦ and (45 -x)◦ , then the value of x is​

Answer 1

(2x-3)=first angle

(45-x)=second angle

(2x-3)=third angle (opposite angles are =)

(45-x)=fourth angle(opposite angles are =)

(2x-3)+(45-x)+(2x-3)+(45-x)=360

4x-6+90-2x=360

2x+84=360

2x=360-84

2x=276

x=138•

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Answer 2

Answer :-

• The value of x is 16.

Step-by-step explanation :-

To Find :-

• The value of x

Solution :-

Given that,

• The opposite angles of parallelogram are ( 2x - 3 )° and ( 45 - x )°

As we know that,

• Opposite angles of parallelogram are equal

Therefore,

• ( 2x - 3 ) = ( 45 - x )

=> 2x - 3 = 45 - x

Transposing -x to L.H.S from R.H.S,

=> 2x + x - 3 = 45

Transposing -3 to R.H.S from L.H.S,

=> 2x + x = 45 + 3

=> 3x = 45 + 3

Transposing 3 to R.H.S from L.H.S,

=> 3x = 48

Dividing 48 and 3 with 3,

=> x = 48/3

=> x = 16

• Therefore, the value of x is 16.

Now, Verification

• ( 2x - 3 ) = ( 45 - x )

We have,

• L.H.S = 2x - 3
• R.H.S = 45 - x

By putting the value of x, to both L.H.S and R.H.S,

We have, x = 16,

• L.H.S

=> 2x - 3

=> 2*16 - 3

=> 32 - 3

=> 29

• R.H.S

=> 45 - x

=> 45 - 16

=> 29

L.H.S = R.H.S.

Hence, Verified!