How many obtuse angles does a pentagon have?

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A pentagon has 540 degrees and five sides. If it is a regular pentagon, then each angle is 108 degrees. An obtuse angle is greater than 90°. A pentagon can be constructed with 2 obtuse angles and 3 non-obtuse (either acute or right) angles.
Example: if it had 3 angles of 90° = 270°. 540° - 270° = 270°, which would be split between 2 angles (each between 90° and 180°).
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How many angles in a obtuse angle?

An obtuse angle is only one angle, however if you meant 'how many degrees?' then an obtuse angle contains more than 90 and less than 180 degrees..
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Is a pentagon an obtuse angle?

A regular pentagon has 5 equal sides and 5 equal interior obtuse angles of 108 degrees.