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Are the triangles below acute, obtuse, or right?Triangle A30°60°AcuteObtuseRightTriangle B110°40°30°AcuteObtuseRightTriangle C50°80°50°AcuteObtuseRightTriangle D30°30°120°AcuteObtuseRight

Question

Are the triangles below acute, obtuse, or right?Triangle A30°60°AcuteObtuseRightTriangle B110°40°30°AcuteObtuseRightTriangle C50°80°50°AcuteObtuseRightTriangle D30°30°120°AcuteObtuseRight

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Solution

Triangle A: This triangle has angles 30°, 60°, and 90°. Since one of its angles is exactly 90°, it is a Right triangle.

Triangle B: This triangle has angles 110°, 40°, and 30°. Since one of its angles is more than 90°, it is an Obtuse triangle.

Triangle C: This triangle has angles 50°, 80°, and 50°. Since all of its angles are less than 90°, it is an Acute triangle.

Triangle D: This triangle has angles 30°, 30°, and 120°. Since one of its angles is more than 90°, it is an Obtuse triangle.

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