<p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem</span></span></p>
<p>This is another one of those <span style="color:#8e44ad;">Multiple-Select</span> problems in which we have to calculate the <strong>minimum</strong> possible value and the <strong>maximum</strong> possible value and also choose all values between those two.</p>
<p><strong>Calculating the maximum possible value of $\angle F$:</strong></p>
<p>We know that the three angles in a triangle sum to $180$ degrees. Thus, $\angle D + \angle E + \angle F = 180$. To find the maximum possible value of $\angle F$, let's assume that $\angle E = 90$. I know it must be greater than $90$ in reality, but we're making this assumption to find a boundary.</p>
<p style="text-align: center;">$$25 + 90 + \angle F = 180$$</p>
<p style="text-align: center;">$$\angle F = 180 - 25 - 90 = 65$$</p>
<p>So we know that $\angle F < 65$.</p>
<p><strong>Calculating the minimum possible value of $\angle F$:</strong></p>
<p>Let's assume that $\angle E$ is as large as possible to minimize $\angle F$. Let's assume that $\angle E = 155$. This is not possible in reality because it would mean that two angles alone in the triangle sum to $180$, but that's okay for our purposes. We're simply calculating a boundary.</p>
<p style="text-align: center;">$$25 + 155 + \angle F = 180$$</p>
<p style="text-align: center;">$$\angle F = 180 - 25 - 155 = 0$$</p>
<p>So we know that $\angle F > 0$.</p>
<p><strong>Combining the maximum and minimum into one inequality:</strong></p>
<p style="text-align: center;">$$0 < \angle F < 65$$</p>
<p>Thus, <strong><span style="color:#27ae60;">the correct answers are A, B, C, and D</span></strong>.</p>