vertex
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The vertex of the angle.
VerTex
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.
angle B angle Y (Tested, correct) Nicki is not the answer, just ignore that.
Angle "A" is congruent to Angle "D"