Respuesta :

Answer:

 x = -4°     and    y= 13°    

Step-by-step explanation:

From the given figure , it is shown as

(5y - 9) + (14 - 4x) = 90°

Or, 5y -4x = 90° -5°

Or, 5y -4x = 85°       ......1

And

(8y +42)° = (5y -9 +90)°         Note: Alternate interior angle

Or, 3y = 39°

I.e y = [tex]\frac{39}{3}[/tex]

or, y= 13°

Put the value of y in eq 1

5(13°) -4x = 85°

or, -4x = 20°

so, x = -4°

Hence ,  x = -4°     and    y= 13°    Answer