Question

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

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Answer 1

The measure of U is 106 degrees

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