Check the big blue capacitor on the bottom of the picture, right next to the small black bridge rectifier. The voltage rating of that cap will give some indication of the maximum DC voltage it can handle. In real life, the actual voltage will be 20-30% less. Work backwards from there and divide by about 1.414 to get an estimate of the transformer secondary AC RMS voltage.
I agree somewhat that the transformer is not likely the culprit. Measure to resistance on both secondary and primary. If you get low resistances, the windings/transformer are likely good.
A 125V fuse is a common rating and easy to find replacemens. The voltage rating is just the maximum safe voltage limit, you can use a 125V fuse for a 5V circuit as long as the current rating is correct. In your circuit, you could even use a 250V 4A fuse, makes no difference.