The answer is measure of ark WX equals 65 degrees
Measure of angle WXY is 57, as given.
That means Ark WY is 114 degrees.
Ark XWY equals 180 degrees.
Arks XW and WY equal 180 degrees.
Ark XWY minus Ark WY equals XW.
That means, 180 minus 114 equals 65 degrees.