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Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?

She is correct. A triangle having at least one acute angle is an acute triangle.
She is correct. The remaining angle of the triangle measures less than 90 degrees.
She is incorrect. The angles measure greater than 90 degrees so the triangle is obtuse.
She is incorrect. The third angle in a triangle with two congruent acute angles is a right angle.

Answer :

Answer:

She is correct. The remaining angle of the triangle measures less than 90 degrees

Step-by-step explanation:

Edgunity

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

What are acute angles?

Acute angles are angles that measures less than 90 degrees.  

Triangle DEF contains 2 congruent  acute angles. This means each of those 2 acute angles in the triangle are less than 90 degrees.

The sum of the measure of the two congruent acute angles is greater than 90 degrees.

Therefore,

let

∠D and ∠E be the acute angles.

∠D + ∠E > 90°

An acute triangle:

An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

The sum of angles of a triangle is 180 degrees.

Since ∠D + ∠E > 90°, then ∠F must be less than 90 degrees.

This simply means the triangle is an acute-angled triangle. Therefore,

Anna is correct.

learn more on acute angles here: https://brainly.com/question/1634742?referrer=searchResults

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