Question

Is the following statement a good definition? Why? An obtuse angle is an angle whose measure is greater than 90°.

Answer 1

180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

Is the following statement a good definition?

The given statement is:

"An obtuse angle is an angle whose measure is greater than 90°."

This is the common, but incorrect, definition for obtuse angles.

We know that an angle that measures 180° is called a plane angle and by definition, a plane angle is not an obtuse angle.

And the angles larger than 180° (and smaller than 360°) are the reflex angles.

Now, 180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

If you want to learn more about obtuse angles:

brainly.com/question/5023725

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