Respuesta :

m∠V = 58°

Solution:

Given data:

X is the midpoint of UV and Y is the midpoint of UW.

XY is parallel to VW.

Now, XY and VW are parallel lines cut by a transversal UV.

∠UXY and ∠UVW are corresponding angles.

If two parallel lines cut by a transversal, then the corresponding angles are congruent.

∠UXY ≅ ∠UVW

m∠UXY = m∠UVW

58 ° = m∠UVW

Switch the sides.

m∠UVW = 58°

⇒ m∠V = 58°

akposevictor

∠UXY and ∠V are corresponding angles, therefore m∠V = 58°

Recall:

  • If two angles are corresponding angles, they are congruent to each other, meaning their angle measures are equal.

Given:

m∠UXY = 58°

Since X is the midpoint of UV and Y is the midpoint of UW, therefore:

∠UXY and ∠V are corresponding angles.

  • Thus:

m∠V = 58°

Learn more about corresponding angles on:

https://brainly.com/question/2009183

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