Question

Determine the measure of LUXW in the diagram.

Y
66°
U
W
X
The measure of LUXW is
57°
Z

Answer 1

33°

Explanation:

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

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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°