Answer :

We know that, if two lines intersect each other, then the vertically opposite angles are equal. It is a theorem. So, given statement I is false and not an axiom.

Also, we know that, if a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°. It is an axiom. So, given statement II is true and an axiom.


Thus, in given statement, first is false and second is an axiom. Hence, given system of axioms is not consistent.


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