Answer:
Based on the given congruence statement ΔΕΜΧ = ΔΑCT, we can determine the relationships between the corresponding parts of the triangles.
1. LM = AC:
The corresponding sides of the triangles are congruent, so LM is equal to AC.
2. MX = CT:
Again, the corresponding sides of the triangles are congruent, so MX is equal to CT.
3. LX = AT:
Similarly, the corresponding sides of the triangles are congruent, so LX is equal to AT.
4. m/L = m4:
This statement indicates that angle L is congruent to angle 4. Therefore, the measures of angle L and angle 4 are equal.
5. m/M = ma:
This statement indicates that angle M is congruent to angle a. Therefore, the measures of angle M and angle a are equal.
6. mZX = m²:
This statement indicates that angle ZX is congruent to angle 2. Therefore, the measures of angle ZX and angle 2 are equal.
It's important to note that the provided congruence statement and equations may vary depending on the specific context and problem. The congruence statement given is in the form of ΔΕΜΧ = ΔΑCT, which means that triangle DEMX is congruent to triangle DACT. The congruent parts of the triangles are represented by the corresponding letters.
Explanation: