Find the value of x. The diagram is not drawn to scale.

Interior angles of a polygon with n sides sum up to 180 (n-2) degrees. So a square has 4 sides, and the interior angles sum to 360 (=4*90). This figure has 5 sides, so the angles should sum up to 540 degrees, not 360 (and not 0). You've got 1 90 degree angle, 112, 148, and 2x and 2x + 10.

90+112+148+2x+2x+10=540

360+4x=540

x = 45