From the given problem:

1. Complementary Angles:
   $\angle 1$ and $\angle 2$ are complementary, so:
   $m\angle 1 + m\angle 2 = 90^\circ$

2. Expressions for Angle Measures:
   $m\angle 1 = x + 5y$ $m\angle 2 = 2x + 2y + 3$

Substituting and Solving:

From the complementary angle condition: $(x + 5y) + (2x + 2y + 3) = 90$ Simplify: $x + 5y + 2x + 2y + 3 = 90$ $3x + 7y + 3 = 90$ $3x + 7y = 87$

Final Equation:

$3x + 7y = 87$