Photoacoustic computed tomography (PACT) utilizing a linear array ultrasound transducer that can be handheld is popular in clinical translation. However, in linear array PACT, one of the challenges is achieving homogenous light illumination of structures from the surface through deep structures within biological tissue with limited optical energy. A circular or rectangular optical fiber bundle attached to both sides of the elevation plane of the transducer at a fixed angle provides light delivery in linear array PACT, but this configuration does not provide optimum homogenous illumination. Therefore, it is essential to have accessibility to angular adjustment of the optical beam path to allow photons to create different pathways. Existing methods for implementing various beam paths are not flexible or require precise calibration for any changes in the angle of illumination. In this study, we propose a simple and effective adjustable-angle illumination scheme for linear array-based PACT to create different illumination focal points randomly within the imaging plane. This method, based on an adjustable angular illumination technique while acquiring photoacoustic signals, allows the incident photons to interact with the imaging targets for longer periods of time and diffuse further in all directions. We have investigated the effectiveness of the proposed method by imaging photoacoustic targets in biological tissues ex-vivo and demonstrated that deeper structures can be successfully identified.