She tried to equivocate when asked about her involvement in the incident, but her shifting explanations only made her appear more suspicious.
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To talk or act insincerely or misleadingly, to equivocate.
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The word "equivocate" is a verb meaning to avoid making a clear statement by saying something that has more than one possible meaning; to use ambiguous language so as to conceal the truth; a word for an action.
Examples:
"The politician was known to equivocate if asked about gay marriage."
"I didn't like her new hairdo, but it was better to equivocate."
"Please don't equivocate, tell me what you really think."
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to avoid, to dodge, to escape, to elude, to shirk, to
equivocate, to prevaricate
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The word that means to speak evasively is "equivocate."