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Congruence, similarity, and angle relationships: medium

Problem

Line 'm' and line 'l' are parallel and run in the horizontal direction, with line 'm' above line 'l'. A ray with a vertex on line 'l' extends towards the top right and crosses line 'm'. Of the four angles that are formed by this intersection, the one in the bottom right measures 153 degrees. Additionally, there is a segment with one endpoint at the vertex of the ray on line 'l'. The other endpoint is on line 'm' to the left of the vertex of the ray. Moving counter clockwise from this segment to line 'l' forms a 48 degree angle. The angle formed by the ray and the segment measures 'x' degrees.
In the figure, line l is parallel to line m. What is the value of x?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

How do I enter a student-produced response on the SAT?