Answer:
x = 14
y = 19
Explanation:
( 3x - 6 ) and 48 are alternate interior angles. Alternate interior angles are equal.
So,
3x + 6 = 48
3x = 48 - 6
3x = 42
x = 42 / 3
x = 14
2y and 48 are interior angles of a triangle.
( 5y - 9 ) is the exterior angle of the triangle.
Formula : -
Exterior angle ( of the triangle ) = Sum of two interior angles ( of a triangle )
So,
5y - 9 = 2y + 48
5y - 2y = 48 + 9
3y = 57
y = 57 / 3
y = 19