Answer:
x = -4° and y= 13°
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 =

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