Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

11) choose the correct answer. if \\( \\triangle d e f \\) is isosceles…

Question

  1. choose the correct answer.

if \\( \triangle d e f \\) is isosceles, which two angles of \\( \triangle d e f \\) appear to be the base angles?
\\( \angle e \\) and \\( \angle f \\)
\\( \angle e \\) and \\( \angle d \\)
\\( \angle d \\) and \\( \angle f \\)

Explanation:

Step1: Recall the property of isosceles triangle

In an isosceles triangle, the base angles are equal. The base angles are the angles opposite the equal sides.

Step2: Analyze the triangle \(\triangle DEF\)

In \(\triangle DEF\), if we assume the equal sides are \(DE\) and \(DF\) (by visual inspection of the figure - though not having side - length markings, but in the context of the problem), then the angles opposite these sides are \(\angle E\) and \(\angle F\).

Answer:

\(\angle E\) and \(\angle F\)