an angle between 90 and 180 degrees
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No its a obtuse line there are no acute lines in it
Connect two ends of the obtuse angles, making a sort of M shape. Then use the line to connect the points at the top of the M. Pivoting the two obtuse angles might be necessary, depending on line length.
They make a pair of acute angles and a pair of obtuse angles. In rotational order, the angles are acute, obtuse, acute, obtuse.
A Hexagon has 3 pairs of parallel line and all angles are obtuse.
The circumcentre is outside the triangle - next to the longest line.