You drew the line correctly. In that process, you split the 95 degrees angle into two angles, I call it the "upper" angle and the "lower" angle.

Look at the four-sided trapezium-looking figure involving the lower angle, 130 degrees, 138 degrees and one more angle.

The lower angle is directly opposite the 138 degrees in this quadrilateral, so the value of the lower angle
= 180 - 138
= 42 degrees

This property is also known as "angles in opposite segments add to 180 degrees" or "opposite angles of a cyclic quadrilateral add to 180 degrees".

The upper angle must have been 53 degrees.

Value of x
= 180 - 53 - 53
= 74 degrees

The upper angle of y is also 53 degrees.

Lower angle of y
= 180 - 130 (similar in idea to the other lower angle)
= 50 degrees

Value of y
= 50 + 53
= 103 degrees

Or, we can use sum of interior angles of this 5-sided figure
= 180 x (5 - 2)
= 540 degrees

and the value of y
= 540 - 138 - 130 - 95 - 74
= 103 degrees