Question

Can anybody help me solve this? You must solve for x first.




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Answer 1

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