Answer:
102
Step-by-step explanation:
x = 180 - (4x - 2) - 78
x = 180 - 4x + 2 -78
5x = 180 + 2 - 78
5x = 104
x = [tex]20\frac{4}{5}[/tex].
So, angle UTW is 4 * [tex]20\frac{4}{5}[/tex] - 2 + [tex]20\frac{4}{5}[/tex] = 5 * [tex]20\frac{4}{5}[/tex] - 2 = 104 - 2 = 102
