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1 answer:
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Given:
m∠YXV = 3x + 48
m∠WUX = x + 62
Using the corresponding angle theorem, since X is the midpoint of UV and Y is the midpoint VW, m∠YXV is congruent to m∠WUX.
Thus, we have:
m∠YXV = m∠WUX
3x + 48 = x + 62
Solve for x.
Subtract x from both sides:
3x - x + 48 = x - x + 62
2x + 48 = 62
Subtract 48 from both sides:
2x + 48 - 48 = 62 - 48
2x = 14
Divide both sides by 2:
To find m∠WUX, where x = 7, we have:
m∠WUX = x + 62
= 7 + 62
= 69º
ANSWER:
m∠WUX = 69º