There is no specific name for the region.
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A line that is the angle bisector.
Draw two line segments, AB and BC, meeting at a right angle at the point B. Pick any point, D, in the plane, which is inside angle ABC or its opposite angle. Join CD and AD. Then ABCD will be a quadrangle which meets the requirements.
a degree is the space inside an angle
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
Angle cpb is given as 17 degrees, and it's inside angle apb. Additionally, angle cpb is congruent to angle apc. That means angle apb is twice angle cpb, or twice 17 degrees, or 34 degrees.