Question

Find the value of x and the value of y. (3y) (y+140) (5x-100) (x-20)

Answer 1

Question:

Find the value of x and the value of y.

A.

x = 15, y = 10

B.

x = 20, y = 50

C.

x = 50, y = 10

D.

x = 50, y = 20

The image of the degrees of angles is attached below:

Answer:

Option C: $x=50, y=10$ is the value of x and y

Explanation:

Since, we know that the vertically opposite angles are equal.

From the figure, the angles $3y$ and $x-20$ are equal.

       $3y=x-20$

$3y+20=x$ -----------(1)

And the angles $y+140$ and $5x-100$ are equal.

$y+140=5x-100$

        $y=5x-240$  -----------(2)

Substituting $x=3y+20$ in the equation $y=5x-240$ , we get,

     $y=5(3y+20)-240$

     $y=15y+100-240$

     $y=15y-140$

$-14y=-140$

     $y=10$

Thus, the value of y is $y=10$

Substituting $y=10$ in the equation $3y+20=x$ , we have,

$3(10)+20=x$

   $30+20=x$

           $50=x$

Thus, the value of x is $x=50$

Therefore, the value of x and y are $x=50$ and $y=10$

Hence, Option C is the correct answer.