Respuesta :

If AC bisects BD, then BC = CD

That means:

2y - 2 = y + 3

Solve:

y -2 = 3

y = 5

Answer:

x=17 and y=5.

Step-by-step explanation:

This is an isosceles triangle; the two diagonals are equal.  Also, due to the perpendicular bisector AC, line BD has two equal halves.

Based upon the equality of these halves,

2y-2 = y+3.  Combining like terms, y = 5.

Based upon the equality of the sloping sides, 2x-14=37-x.  Then, after combining like terms, we have:

2x+x = 37+14, or 3x = 51.  This yields x = 17.

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