Respuesta :

chetankachana

Answer:

m∠X = 97°
x = 3
m∠XWY = 53°

Step-by-step explanation:

m∠x is 97°, this is because the opposite angles in a parallelogram are congruent. The opposite angle of angle X is 97°, so angle x is 97°

The opposite sides of a parallelogram are congruent.

  • 3x = 9
  • x = 9/3
  • x = 3

For angle XWY, we can solve for the missing angle in the triangle VYW:

  • 180° - 97° - 30° = m∠VWY
  • 180° - 127° = m∠VWY
  • 53° = m∠VWY

Now, ∠VWY and ∠XWY are alternate interior angles

That means that the two angles are congruent

m∠XWY = 53°

-Chetan K

Finding m∠X ⤵️

[tex] \sf \: m∠X = 97° \\ \tt[ Opposite \: angles \: of \: a \: parallelogram \: are \: equal][/tex]

Finding the X in the side VW ⤵️

[tex] \sf \: VW=YX \\ \tt \: [parallel \: sides \: are \: equal][/tex]

[tex] \sf \: 3x = 9[/tex]

[tex] \sf \: x = 3[/tex]

Finding m∠XWY

[tex] \bf \: 180 - 97 - 30 = m∠XWY[/tex]

[tex] \bf \: 180 - 127 = m∠XWY[/tex]

[tex] \bf \: m∠XWY = 53 \degree[/tex]

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