Respuesta :

chetankachana

Answer:

m∠YVX = 42°
m∠y = 74°

x = 3

Step-by-step explanation:

Alternate interior angles are congruent.

Angle ∠YVX is an alternate interior angle of ∠WXV
This makes both angles equivalent.

m∠YVX is also 42°

Angle y is 74° because the opposite angles in a parallelogram are equal to each other

  • m∠y = 74°

The opposite sides are also equal in a parallelogram, so 6x = 18

  • 6x = 18
  • x = 18/6
  • x = 3

Rules of a parallelogram:

  • opposite angles are congruent
  • opposite sides are congruent
  • the sum of the angles equals 360°
  • opposite sides are parallel
  • diagonals are congruent

-Chetan K