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Q: What is the definition of an obtuse angle?

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The definition of an obtuse angle is that it is greater than 90 degrees and less than 180. By this definition, the smallest obtuse angle you can have is 90.00001 degrees, with infinite 0's.

a triangle that contains an obtuse interior angle

an angle greater than 90 degrease

Because an obtuse angle is greater than 90 degrees by definition and a right angle is 90 degrees by definition, so an obtuse triangle would need to have both a right angle and an obtuse angle, which would exceed the number of degrees than a triangle can have, which is 180 degrees.

An angle greater than 90 degrees in measure.

It is an obtuse angle. It is an obtuse angle. It is an obtuse angle. It is an obtuse angle.

It does not. You also need examples of angles that are not obtuse. Based on only an example of an obtuse angle, your definition could simply be two line [segments] meeting at a point.

Two angles are complementary when they add up to exactly 90 degrees. An obtuse angle is by definition greater than 90 degrees. Therefore, an obtuse angle cannot have a complementary angle. So an obtuse angle and an acute angle are never complementary.

A angle that sums up to 180 degress

No. By definition, a square can have only right angles.

No. By definition, the compliment to an angle is an angle whose measure would combine with the first to reach 90 degrees. Also, by definition, an obtuse angle is an angle whose measure is greater than 90 degrees. There is no angle that can be added to an angle larger than 90 degrees that will cause that angle to be 90 degrees (because the measure of an angle is inherently positive.) Therefore, there is no compliment to an obtuse angle.

An obtuse triangle has an obtuse angle.

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