A convincing answer means giving a response that is believable, logical, and persuasive, making others agree or trust your explanation. Full definition
Only in this perspective will we be able to give convincing answers to the person who is searching. (faith.org.uk)
She would be asked what had changed and her only convincing answers would be self - serving. (politics.co.uk)
To be sure, great strides have already been made in this direction, but I must honestly say that a truly convincing answer has yet to be formulated. (firstthings.com)