Question

If 2 X + 4 and 4x - 64 to opposite angle of cyclic quadrilateral then find x​

Answer 1

Answer:

40

Step-by-step explanation:

we know,opposite angles of a cyclic quadrilateral is summed to be 180.

So,2x+4+4x-64=180

6x-60=180

6x=180+60

6x=240

x=240/6

x=40

Answer 2

The value of x = 40

Correct question : (2x + 4)° and (4x - 64)° are opposite angle of cyclic quadrilateral. Then find x

Given :

(2x + 4)° and (4x - 64)° are opposite angle of cyclic quadrilateral

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation to find the value of x

Here it is given that (2x + 4)° and (4x - 64)° are opposite angle of cyclic quadrilateral

We know that Sum of opposite angles of a cyclic quadrilateral is 180°

∴ (2x + 4)° + (4x - 64)° = 180°

Step 2 of 2 :

Find the value of x

(2x + 4)° + (4x - 64)° = 180°

⇒ (2x + 4) + (4x - 64) = 180

⇒ 6x - 60 = 180

⇒ 6x = 180 + 60

⇒ 6x = 240

⇒ x = 240/6

⇒ x = 40

Hence the required value of x = 40

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