Question

problem 17
in △dfg, fg < dg and df > dg. which is the smallest angle of △dfg?

Explanation:

Step1: Analyze the side - length relationships

Given \(FG\lt DG\) and \(DF\gt DG\), we can order the sides as \(FG\lt DG\lt DF\).

Step2: Use the triangle side - angle relationship

In a triangle, the smaller side is opposite the smaller angle. The side opposite \(\angle D\) is \(FG\), the side opposite \(\angle F\) is \(DG\), and the side opposite \(\angle G\) is \(DF\).

Answer:

\(\angle D\)