To solve for \( \angle 1 \) given the equation \( \angle 1 + \angle 2 + \angle 3 = 310^\circ \), you need additional information about either \( \angle 2 \) or \( \angle 3 \).
If you are provided with the measures of \( \angle 2 \) and \( \angle 3 \), you can plug those values into the equation and solve for \( \angle 1 \):
\[ \angle 1 = 310^\circ - \angle 2 - \angle 3 \]
Please provide the measures of \( \angle 2 \) and \( \angle 3 \) if you have them, or any additional context related to the angles.