Respuesta :

Answer:

x = 15, y = 21

Step-by-step explanation:

We have 2 vertical angles that are equal to each other, and equals (6x - 11).

For right triangle:

(6x - 11) + 81 + (x+ 5) = 180

6x - 11 + 81 + x+ 5 = 180

7x + 75 = 180

7x = 105

x = 15

For left triangle:

(4y - 18) + (6x - 11) + (y +14) = 180

4y - 18 + 6x - 11 + y +14 = 180

5y + 6x - 15 = 180

Substitute x = 15.

5y + 6*15 - 15 = 180

5y + 75 = 180

5y = 105

y = 21