group Theory| prove that every non identity element of group G is order 2 is abelian | abelian group

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If every non-identity element of a group G is of order 2,then show that G is abelian. If every non-identity element of a group G is of order 2,then show that G is abelian.
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let g be an element (non-identity) of a group G then g is its own inverse iff g is of order 2 let g be an element (non-identity) of a group G then g is its own inverse iff g is of order 2
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