Answer:
x=17 and y=5.
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.