loganmal81
loganmal81 loganmal81
  • 22-05-2022
  • Mathematics
contestada

Determine the measure of LUXW in the diagram.
Y
66°
U
W
X
The measure of LUXW is
57°
Z

Determine the measure of LUXW in the diagram Y 66 U W X The measure of LUXW is 57 Z class=

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sqdancefan
sqdancefan sqdancefan
  • 22-05-2022

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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