Take into account that the sum of angles VUJ and JUT is equal to the measure of angle VUT, then, you have:
m
replace the given expressions for the measure of the angles into the preivous equation:
(13x - 3) + (13x + 22) = 175 open parenthesis left side and simplify like terms
26x + 19 = 175 subtract 9 both sides
26x = 175 - 19
26x = 156 divide by 26 both sides
x = 156/26
x = 6
Hence, the value of x is 6