(1 point) Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a given angle.
To construct an angle that is both congruent and adjacent to a given angle, follow these steps:
1. Take the given angle and draw a ray extending from one of its sides.
2. Place the compass on the vertex of the given angle and draw an arc that intersects the ray previously drawn.
3. Without changing the compass' width, place the compass on the point where the arc intersects the ray, and draw another arc that intersects the given angle.
4. Using a straightedge, draw a line connecting the vertex of the given angle with the point where the second arc intersects the given angle.
5. The angle formed between the drawn line and the given angle's side is both congruent and adjacent to the given angle.