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klemol [59]
2 years ago
5

Determine the measure of LUXW in the diagram.

Mathematics
1 answer:
mixer [17]2 years ago
4 0

Answer:

  33°

Step-by-step explanation:

Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.

__

Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:

  ∠UXW = 90° -57° = 33°

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