Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
If triangles ABC and RPM are congruent, it means that:
![\begin{gathered} AB=RP \\ BC=PM \\ AC=RM \\ m\angle A=m\operatorname{\angle}R \\ m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}C=m\operatorname{\angle}M \end{gathered}]()
For x, we have that:
Thus, we have that:
For y, we have:
![\begin{gathered} m\operatorname{\angle}B=m\operatorname{\angle}P \\ m\operatorname{\angle}B=12y\degree \\ m\operatorname{\angle}P=62.4\degree \end{gathered}]()
Thus, we have that:
Therefore, the answers are:
The LAST OPTION is correct.