Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.

<image>If $\overline{E C}$ is an altitude of $\triangle A E D, m \angle 1=2 x+7,$ and $m \angle 2=3 x+13,$ find $m \angle 1$.