Geometry

Question Analysis

This question is about using angle congruence to find an unknown angle measure. The main focus is applying the property of congruent angles.

 

Key Concept Explanation

Congruent angles have equal measures. If ∠A ≌ ∠B, then m∠A = m∠B.

 

Step - by - Step Solution

1. We know that ∠KLM ≌ ∠BCD.

2. Given m∠MLK = 51°. Since ∠MLK is the same as ∠KLM, and due to the congruence of ∠KLM and ∠BCD, we can say that m∠DCB=m∠BCD = m∠KLM = 51°.

 

Option Analysis

A.51°: Correct as it is the measure obtained from the congruence relationship.

B.97°: This is the measure of ∠SRU which is not relevant to the congruence pair for ∠DCB.

C.46°: There's no basis for this value in the given problem.

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