Subjects geometry

Angle Congruence 181B2C

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Question: Use the diagram to the right to complete the statement. $\angle DCM \cong \angle __$ top-right: A line passes through points $F$, $D$, $C$ and slopes downward to the right; another line passes through points $G$, $J$, $C$ and slopes downward to the right; a horizontal line passes through $D$, $M$, $L$, $K$; a diagonal line passes through $C$, $M$, $J$, $H$ and slopes upward to the right; the angle at $D$ between $DF$ and $DM$ is marked with a single arc, and the angle at $C$ between $CD$ and $CM$ is marked with a matching single arc. $\angle DCM \cong \angle G$ what's the answer
1. **State the problem:** We need to find the angle congruent to $\angle DCM$ based on the given diagram and markings. 2. **Analyze the diagram:** The angle $\angle DCM$ is marked with a single arc, and there is another angle at $D$ between $DF$ and $DM$ also marked with a single arc. 3. **Use the property of congruent angles:** Angles marked with the same number of arcs are congruent. 4. **Identify the congruent angle:** Since $\angle DCM$ and $\angle FDM$ both have a single arc, they are congruent. 5. **Complete the statement:** $$\angle DCM \cong \angle FDM$$ **Final answer:** $\boxed{FDM}$