Metamaterial absorbers with the resonator/dielectric/metallic-mirror conventional design are often angle-dependent and completely reflective outside the absorption band. Here we propose a novel solution to achieve an angle-insensitive bidirectional absorber operating at the transmission mode using a simple metamaterial system. The proposed system is composed of two symmetric disk-pair layers, called the disk-pair dimer, that exhibit two identical but coupled magnetic resonances at the same frequency. This unique design allows to absorb the electromagnetic energy at the transmission mode, which is rarely achievable in conventional ones. By optimizing the coupling strength between two disk-pair layers, the total absorptivity can be enhanced up to 90%.