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Q: How does having an exampe of an obtuse angle help you write a definition?

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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 obtuse angle is an angle that is larger that 90 degrees but smaller than a straight angle (180 degrees).

It is an obtuse triangle having 1 obtuse angle and 2 different acute angles Or it is an isosceles triangle having 1 obtuse angle and 2 equal acute angles

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.

No, a right triangle must have a right angle (by definition). Because there is 180 degrees in a triangle and a right angle is 90 degrees, that leaves the remaining two angles having to equal 90 degrees. Therefore, a triangle cannot have an obtuse angle.

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.

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.

A angle that sums up to 180 degress

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