Answer:
Draw an angle, then construct an angle that is congruent to it.
To construct an angle that is congruent to a given angle, follow these steps:
Draw a line segment and label its endpoints as point A and point B. This line will serve as the initial side of both angles.
Place the compass on point A and draw an arc that intersects the line segment.
Without changing the compass width, place the compass on point B and draw another arc that intersects the line segment. Make sure the new arc intersects the same side of the line segment as the first arc.
With the compass still set to the same width, place the compass on the point where the first arc intersects the line segment and draw an arc in the interior of the angle.
Without changing the compass width, place the compass on the point where the second arc intersects the line segment and draw another arc in the interior of the angle.
Use a straightedge to draw a line connecting the point where the first interior arc intersects the line segment to the point where the second interior arc intersects the line segment.
The angle formed by the initial side (line segment AB) and the constructed line is congruent to the given angle.