If \( \mathrm{m}, \mathrm{A}-45 \), and \( \angle 1 \) and \( \angle 2 \) are complementary angles, \( f \) ind \( \mathrm{m} \angle 2 \).

In a complementary angle scenario, the sum of the angles must equal 90 degrees. If it’s given that \( \angle 1 \) measures \( A - 45 \) and is complementary to \( \angle 2 \), the relationship can be expressed as \( (A - 45) + \angle 2 = 90 \). Rearranging this equation can lead to \( \angle 2 = 90 - (A - 45) \) or \( \angle 2 = 135 - A \). Consequently, you can determine the measure of \( \angle 2 \) based on the value of \( A \). Suppose \( A \) is an obtuse angle, then \( A \) exceeds 90 degrees, making \( \angle 2 \) potentially negative when substituted in \( \angle 2 = 135 - A \). It’s crucial to remember that angles cannot be negative, indicating that for values of \( A \) greater than 135, the situation leads to non-viable relationships in geometry. Always double-check the values to ensure they comply with the constraints of angle measures!