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First drop of knowledge: the angles of a triangle must combine to equal 180 degrees.

An obtuse angle is more than 90 degrees, a right angle is 90 degrees, and an acute angle is less than 90 degrees.

Because an obtuse angle is present, it is already over 90 degrees. Let's say it is the least possible whole number for an obtuse angle, which is 91 degrees. Two more obtuse angles would put it above 180 degrees, which is too much to be at triangle. Two right angles would still put it above 180 degrees, still too much.

The only combination left is two acute angles (in this case, 45 and 44 degrees). Thus, even the lowest of whole numbers for an obtuse angle requires two acute angles, so any other higher number will require the same.

Q: Why must a triangle with an obtuse angle have two acute angles?

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A right angle triangle has a 90 degree angle and 2 acute angles An obtuse triangle has 1 obtuse angle and 2 acute angles

An obtuse triangle has 1 obtuse angle and 2 acute angles

Yes. A triangle can have only one obtuse angle. The other two angles will always be acute.

Yes. Every triangle with an obtuse angle must have two acute angles.

A triangle has at two acute angles and the third angle is either an acute angle, a right angle or an obtuse angle.

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No, an obtuse triangles has one obtuse angle and two acute angles. If a triangle has an obtuse angle, it is considered obtuse and cannot be acute.

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An obtuse triangle has 1 obtuse angle and 2 acute angles

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