Question

i) if two lines intersect each other then vertically opposite angles are not equal,
ii) if a ray stands on a line then the sum of two adjacent angles so formed is 180°.
Is this system of axioms consistent? justify your answer.



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Answer 1

Answer:

Justify your 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. We know that , if a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180∘ .

Step-by-step explanation:

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