Answer:
The measure of U is 106 degrees
Step-by-step explanation:
Ok, so first let's solve for x (noting that the interior angles add up to 360)
W=90 (right angle) V = 11x+1 X=75 U=12x+10
now let's put them into equation format:
90 + 11x + 1 + 12x + 10 + 75 = 360
combine like terms:
90 + 1 + 10 + 75=176 11x + 12x=23x
we get: 23x + 176=360
solve: -176 -176
23x = 184
/23x /23x
x = 8
Now we have to solve for U:
12(8) + 10 = ?
96 + 10 = 106
Thus, it is 106 degrees
