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If one of the angles of a triangle is obtuse, then the other two angles must be _______.

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right angles

obtuse angles

acute angles

45 degrees

answer is C.

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Detailed Solution

An obtuse angle is one that is greater than 90 degrees.

An obtuse triangle is one with one of its interior angles greater than 90°.

One of its vertex angles is obtuse, while the others are acute.

We know that the sum of the angles of a triangle is 180º.

When one angle is greater than 90 degrees, the sum of the other two angles is less than 90 degrees.

solution

Therefore, the other two angles must be acute.

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