bugboyz
contestada

I NEED HELP ON THIS BADLY PLEASE!!!! IM GIVING LOTS OF POINTS AND BRAINLIEST!!! This is due today so it would help so so much if someone can help me with this please

I NEED HELP ON THIS BADLY PLEASE IM GIVING LOTS OF POINTS AND BRAINLIEST This is due today so it would help so so much if someone can help me with this please class=

Respuesta :

Answer:

x = 16

Step-by-step explanation:

In a parallelogram

• opposite angles are congruent (equal)

∠ Y and ∠ W are opposite angles and equal then

∠ Y = ∠ W ( substitute values )

2x - 13 = x + 3 ( subtract x from both sides )

x - 13 = 3 ( add 13 to both sides )

x = 16

Thus for WXYZ to be a parallelogram , x = 16

semsee45

Answer:

B)  x = 16

Step-by-step explanation:

Given:

  • ∠Z ≅ ∠X
  • m∠W = x + 3
  • m∠Y = 2x - 13

Opposite angles in a parallelogram are equal in measure. Therefore, if figure WXYZ is a parallelogram, the opposite angles W and Y will be equal in measure.

To find the value of x for which WXYZ must be parallelogram, we can set the angle expressions equal to each other, and solve for x:

[tex]m\angle W = m\angle Y\\\\x+3=2x-13\\\\x+3+13=2x-13+13\\\\x+16=2x\\\\x+16-x=2x-x\\\\16=x[/tex]

Therefore, the value of x for which WXYZ must be parallelogram is:

[tex]\LARGE\boxed{\boxed{x=16}}[/tex]

Otras preguntas