1. The problem involves constructing a congruent angle at point R to the angle at Q using compass and straightedge.
2. The first step in copying an angle is to draw an arc centered at the vertex of the original angle (Q) that intersects both rays of the angle. This arc intersects at points S and T.
3. Next, draw a congruent arc at the new vertex (R) with the same radius as the arc at Q. This arc will intersect the ray from R.
4. The next step is to measure the distance between points S and T on the original arc using the compass.
5. Then, with the compass set to this distance, mark an arc from the intersection point on the arc at R to locate point X.
6. Finally, draw a line segment from R through X. This line segment forms the congruent angle at R.
The figure that shows the next step is the top-right figure, where the copied arc at R is drawn and a line segment/compass opening extends down to point X.
Hence, the answer is the top-right figure.
Angle Copying F73B81
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