A statute is legislative law, and there is a statute that addresses what constitutes statutory rape. All North Carolina General Statutes can be found through the General Assembly's website. AVVO is not the forum for homework help.
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The day the victim turns 16 they are an adult and any consensual sexual relations with that victim from that point forward will not trigger liability for statutory rape or statutory sex offense. Many states have a "cap" at age 18, but not NC. There are several statutes that deal with rape and sex offenses and they are found in Chapter 14 of the NC General Statutes.
North Carolina General Statutes can be found at:
The above is not intended as legal advice. The response does not constitute the creation of an attorney-client relationship.