We propose an adaptive modulation and coding (AMC) scheme using relay protocols AF, DF and DMF. The AMC scheme is used for improving the throughput and reliability of a communication system, using different modulation and coding schemes. We analyze the performance of relay protocols with the AMC scheme and observe that relay protocols with the AMC scheme are capable of providing better average throughput at a lower signal to noise ratio (SNR) level as compared to the conventional scheme with no AMC. We perform Monte Carlo simulations based on 3GPP long term evolution-advanced parameters to prove the performance comparison of adaptive modulation and coding scheme (MCS) relay protocols with non-adaptive MCS relay protocols. The simulation results of the proposed system with adaptive MCS prove that among the amplify-and-forward (AF), decode-and-forward (DF) and de-modulate-and-forward (DMF), the DMF protocol performs best, at a lower SNR value and higher average throughput.