The image shows a geometric figure where three angles are expressed algebraically. Let's analyze the problem:

• The angles labeled are:

  • $7y - 20^\circ$
  • $5x - 38^\circ$
  • $3x - 4^\circ$

• There's also a right angle (90°) marked.

Since the two lines $l$ and $m$ appear to be parallel, we are likely dealing with the interior angles formed by a transversal crossing two parallel lines.

Steps to solve:

1. Identify angle relationships:

   • The sum of angles in any triangle is 180°.
   • One of the angles is 90° (right angle), so the sum of the other two angles must be 90°.

2. Form the equations:

   • The angles inside the triangle must add up to 180°. This gives us: $(7y - 20)^\circ + (3x - 4)^\circ + 90^\circ = 180^\circ$
   • Solve for $x$ and $y$ by setting up additional equations using the relationship between angles if necessary.

Would you like to proceed with solving the equations in detail? Let me know if you need further clarification.

Here are some related questions:

1. How do we solve for multiple variables when dealing with systems of equations?
2. What are alternate interior angles, and how do they relate to parallel lines?
3. What is the sum of the interior angles of a triangle?
4. How does the Pythagorean theorem relate to right-angled triangles?
5. Can you identify other types of angle relationships in parallel line setups?

Tip: Remember, angles on a straight line always sum to 180°. This fact helps in solving many angle-related problems.