obtuse* angles are between 180 degrees and 90 degrees. Straight line and right angle.
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obtuse
An obtuse angle is greater than 90 but less than 180 degrees.
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.
A scalene triangle would fit the given description
To draw an adjacent angle you should draw an angle and inside that angle draw a semi-line. Make sure that both angles are not equal.