2.) A triangle has angle measures of 82^(@),53^(@), and 45^(@). Classify the triangle by its angles. (A) acute (B) equiangular (C) obtuse (D) right

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2.) A triangle has angle measures of  82^(@),53^(@), and  45^(@). Classify the triangle by its angles. (A) acute (B) equiangular (C) obtuse (D) right

Bytelearn · Accepted Answer

Understand Triangle Types: To classify the triangle by its angles, we need to understand the definitions of the different types of triangles based on their angles: - An acute triangle has all angles less than 90°. - An equiangular triangle has all angles equal, which would be 60° each in a triangle since the angles must sum to 180°. - An obtuse triangle has one angle greater than 90°. - A right triangle has one angle equal to 90°. Let's add up the given angles to ensure they sum to 180°, which is a requirement for any triangle. 82° + 53° + 45° = 180°Calculate Sum of Angles: Since the sum of the angles is indeed 180°, we can proceed to classify the triangle. We look at the largest angle to determine the type of triangle: - The largest angle given is 82°, which is less than 90°. - None of the angles are equal to 90°, so it is not a right triangle. - Since all angles are less than 90°, it is not an obtuse triangle. - The angles are not all equal, so it is not an equiangular triangle. Therefore, the triangle is an acute triangle because all angles are less than 90°.

$2$ .) A triangle has angle measures of $82^{\circ}, 53^{\circ}$ , and $45^{\circ}$ . Classify the triangle by its angles. $\newline$ (A) acute $\newline$ (B) equiangular $\newline$ (C) obtuse $\newline$ (D) right

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222.) A triangle has angle measures of 82∘,53∘ 82^{\circ}, 53^{\circ} 82∘,53∘, and 45∘ 45^{\circ} 45∘. Classify the triangle by its angles.\newline(A) acute\newline(B) equiangular\newline(C) obtuse\newline(D) right

$2$ .) A triangle has angle measures of $82^{\circ}, 53^{\circ}$ , and $45^{\circ}$ . Classify the triangle by its angles. $\newline$ (A) acute $\newline$ (B) equiangular $\newline$ (C) obtuse $\newline$ (D) right