This is just algebra in disguise.
Since the 4th angle is equal to 3x + 7 degrees, and the 5th angle is equal to 9x-43 degrees, we can form a linear equation and solve.
3x + 7 + 9x - 43 = 180 <------- 180 degrees on a line
12x + 7 - 43 = 180
12x - 36 = 180
12x = 216
x = 18
To solve for UPS, we plug 18 into the 4th angle.
3(18) + 7 = 61
But, we also need to add 90 degrees:
61 + 90 = 151 degrees
Maybe you actually will see this answer. Maybe not, as you are a guest, and you can't save topics.
:)