We consider a single transmitter and multiple receivers equipped with multiple antennas to exploit the spatial characteristics for transmission. To allow the receiver to transmit simultaneously with the transmitter but in a different direction, the receivers use two methods to estimate the half-power beamwidth of the transmitting signal. The first method uses the received power of the transmitter using the Energy Detector (ED). The second method relies on the Direction-of-Arrivals (DoA) at the receivers that are collected using conventional beamforming (BF) method. The performance analysis of the beamwidth estimation is investigated by calculating two metrics. The first is an angular interval that is missed and not detected as a part of the beam. The second is a false detection interval. The simulation results show that the DoA-based technique provides lower false detections compared to the ED-based method, with a tax of a slight increase in the angular missed detection. In addition, our DoA-based approach handles a Rayleigh channel whereas the ED-based technique fails to recover the BW in such a scenario.