It is to be noted that the measure of the above obtuse angle can be estimated to be 135°.
To bisect the obtuse angle, you need to place your compass on A, place an arc above A and B but let it be in the middle as show in the image.
Without changing the calibration of the compass, place it on B and repeat. from the intersection between both arcs, draw a Straightline toward C. This will bisect the obtuse angle.
In geometry, an obtuse angle is one that measures more than 90 degrees but less than 180 degrees.
It is characterized by its wideness and departure from the precision of a right angle.
Conceptually, it falls between the right angle's strictness and a straight line, conveying a geometric configuration that exceeds a quarter circle but falls short of a semicircle.