You can construct an obtuse angle with a straight edge and a protractor and that the angle must be greater than 90 degrees but less than 180 degrees.
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obtuse
An obtuse angle is greater than 90 but less than 180 degrees.
obtuse* angles are between 180 degrees and 90 degrees. Straight line and right angle.
A scalene triangle would fit the given description
an obtuse angle is defined as an angle with more than 90* in it, and less than 180*....so any measure greater than 90* works, provided it is under 180*. the range for an obtuse angle goes from 90-180*, in other words.