If `triangle CAB cong triangle MLK` then `angleK ` = _______

Options

A. `angle A`
B. `angle B`
C. `angle C`
D. None of these

Answer

To solve the question, we need to determine the measure of angle K given that triangle CAB is congruent to triangle MLK. We will use the property of congruent triangles that states that corresponding parts of congruent triangles are equal (CPCT).

### Step-by-Step Solution:

1. **Understand the Congruence**: We are given that triangle CAB is congruent to triangle MLK. This means that all corresponding sides and angles of these triangles are equal.

2. **Identify Corresponding Angles**:
- In triangle CAB, the angles are:
- Angle A
- Angle B
- Angle C
- In triangle MLK, the angles are:
- Angle M
- Angle L
- Angle K

3. **Write Down Correspondences**: From the congruence of the triangles, we can establish the following correspondences:
- Angle C (from triangle CAB) corresponds to Angle M (from triangle MLK)
- Angle A (from triangle CAB) corresponds to Angle L (from triangle MLK)
- Angle B (from triangle CAB) corresponds to Angle K (from triangle MLK)

4. **Conclusion**: Since we need to find the value of angle K, we can see from our correspondences that:
- Angle K = Angle B

5. **Final Answer**: Therefore, angle K is equal to angle B.

### Answer:
Angle K = Angle B

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