QUESTION IMAGE
Question
how many acute angles are in triangle def? number of acute angles:
Step1: Recall the definition of acute angle
An acute angle is an angle whose measure is less than \(90^{\circ}\).
Step2: Analyze the angles in triangle \(DEF\)
In any triangle, the sum of interior angles is \(180^{\circ}\). From the shape of triangle \(DEF\) (it is an obtuse - angled triangle, assume the obtuse angle is at \(E\)), since one angle (\(\angle E\)) is greater than \(90^{\circ}\), the sum of the other two angles (\(\angle D\) and \(\angle F\)) is less than \(90^{\circ}\). So \(\angle D\) and \(\angle F\) are acute angles.
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