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Classify each triangle as acute, equiangular, obtuse, or right with angles of 85°, 30°, 65°.

a) Acute
b) Equiangular
c) Obtuse
d) Right

User MirrorBoy
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1 Answer

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Final answer:

Given the angles of 85°, 30°, and 65°, which add up to 180°, and because each angle is less than 90°, the triangle is classified as an acute triangle.

Step-by-step explanation:

To classify a triangle as acute, equiangular, obtuse, or right, you look at its angles. A triangle with all angles less than 90° is an acute triangle. An equiangular triangle has all angles equal, typically 60° each to add up to 180°. An obtuse triangle has one angle greater than 90°, and a right triangle has one angle exactly 90°.

Given the angles of 85°, 30°, and 65°, you can determine the classification by adding them up to make sure they sum to 180° and checking their comparative sizes:

  • 85° + 30° + 65° = 180°
  • All angles are less than 90°

Since all angles are less than 90°, and the sum of the angles is exactly 180°, this triangle is classified as acute.

User Bromanko
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