Respuesta :

Answer:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that

2x - 11 = -3..........Then add 11 to both sides such that

2x = 8...........Then divide 2 such that

x = 4

Now we can find each side such that

WX = 9(4)-11 = 25

WY = 7(4)-3 = 25

XY = 4(4)+1 = 17

The value of x is 4 and the length of side WX is 25, WY is 25 and XY is 15 and this can be determined by using the given data and arithmetic operations.

Given :

  • Triangle WXY.
  • Angle x [tex]\cong[/tex] Angle y
  • WX = 9x -11
  • XY = 4x-1
  • WY = 7x-3

Given that Angle x [tex]\cong[/tex] Angle y then according to properties of triangle WX = WY.

WX = WY

9x - 11 = 7x - 3

2x = 8

x = 4

Now, put the value of x in the given data in order to find the length of each side.

WX = 9(4) - 11 = 25

XY = 4(4) - 1 = 15

WY = 7(4) - 3 = 25

For more information, refer to the link given below:

https://brainly.com/question/22642276