Question

the figure below is a quadrilateral. find the values of x and y. 7y - 2 23 3x + 2 5y + 4 x = y =

Explanation:

Step1: Solve for y (diagonals bisect each other)

In a parallelogram (the quadrilateral here, as diagonals bisect), \(7y - 2 = 5y + 4\)
\(7y - 5y = 4 + 2\)
\(2y = 6\)
\(y = 3\)

Step2: Solve for x (diagonals bisect each other)

Also, \(3x + 2 = 23\)
\(3x = 23 - 2\)
\(3x = 21\)
\(x = 7\)

Answer:

\(x = 7\)
\(y = 3\)