This paper explores the integration of agile software development methodologies within the cloud computing environment. Through a systematic literature review, it examines the benefits, challenges, and solutions associated with Agile Development in Cloud Computing (ADCC). The paper analyzes the impact of cloud quality attributes on agile practices, investigates security threats, and identifies key challenges such as communication, collaboration, and the lack of practical experience. It also presents conceptual solutions based on process modeling and system dynamics, and explores the use of build tools and scrum methodologies for ADCC. The paper concludes by highlighting the need for further research and practical implementation to fully realize the potential of ADCC.