Final answer:
To solve for a missing angle relating to parallel and perpendicular lines, principles of geometry are applied, such as supplementary and complementary angles. Specifics of the problem, such as how 53° is situated within the lines, though, are essential to provide an accurate solution.
Step-by-step explanation:
To solve for the missing angle in the context of parallel and perpendicular lines in geometry, one would apply the principles that supplementary angles sum to 180° and complementary angles sum to 90°. If two lines are parallel and a transversal cuts across them, the corresponding angles are equal. If a line is perpendicular to another, they form a 90° angle. Without additional context on how 53° relates to the lines, I cannot provide a specific answer. Based on given keywords like 30.1°, 48.7°, and 31.1°, these may represent angles measured using a protractor or calculated via trigonometric methods such as cosine or sine, relevant to finding angles in vector components.