Question

problem 16:
(first taught in
lesson 46)
from this given statement, select the definition,
property, postulate, or theorem that justifies
the prove statement.
given: \\( \triangle def \\)
prove: \\( \angle gef > \angle f \\)

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is greater than either of the non - adjacent interior angles.

Step2: Identify the exterior angle and non - adjacent interior angle

In \(\triangle DEF\), \(\angle GEF\) is an exterior angle (formed by extending side \(DE\) to \(G\)), and \(\angle F\) is a non - adjacent interior angle.

Answer:

The exterior angle theorem.