Question

Solve for x and y:
x =
y = ​

Answer 1

x = 15

y = 21

Explanation:

*triangle sum theorem*

(6x - 11)° + (81)° + (x + 5)° = 180°

(7x - 6)° + (81)° = 180°

(7x)° + (75)° = 180°

(7x)° = (105)°

x = 15

________________

*vertical angle theorem* *triangle sum theorem*

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

^

|

15

(79°) + (4y + y) + (14 - 18)°

_________________________

(79)° + (5y - 4)° = 180°

(5y)° + (75)° = 180°

(5y)° = 105°

y = 21