please answer the question

Question

Order the steps for constructing a copy of ∠A from 1–5.

Mark a point X. Use a straightedge to draw a ray with endpoint X. returned to choices list.

1. Place the compass point at A. Draw an arc that intersects both rays of angle A. Label the points of intersection B and C.
2. Place the compass point at C, and open the compass to the distance between B and C.
3. Without changing the setting, place the compass point at Y and draw an arc. Label the point Z where the two arcs intersect. Use a straightedge to draw ray XZ.
4. Mark a point X. Use a straightedge to draw a ray with endpoint X.
5. Without changing the setting, place the compass point at X and draw an arc intersecting the ray. Mark the point Y at the intersection.

Answer 1

The correct order is 4, 1, 5, 2, 3.

First, mark point X and draw a ray starting at X (Step 4). Next, place the compass at A and draw an arc intersecting both sides of the original angle, labeling the intersections B and C (Step 1).

Without changing the compass width, draw the same arc from X and label its intersection with the new ray Y (Step 5). Then adjust the compass to measure the distance between B and C (Step 2). Finally, place the compass at Y, draw an arc intersecting the previous arc at Z, and draw ray XZ (Step 3).

This creates an angle at X congruent to the original angle A.