Explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle.
Thank you!
set the compass on the vertex of the angle AOB
Draw an arc that cuts the rays of the angle at AC and BD and extends farther to the side
Set the compass to the distance BD
With the compass at A, draw another arc that intersects the original arc at E
Draw a line OE from the vertex to the new intersection.
AOE ≅ AOB