Algebra applications: find the value of x and y

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

      ...........(1)

     ............(2)

      ...........(3)

       ...........(4)

Now we adding equation 2 and 4, we get the value of x.

Now we are putting the value of x in 4, we get the value of y.

Therefore, the value of x and y is 8 and 10 respectively.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1