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" 20.Prove that if two lines intersect e...

" 20.Prove that if two lines intersect each other,then the vertically opposite angles are equal."

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If two lines intersect each other, then prove that the vertically opposite angles are equal.

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Read the following two statements which are taken as axiom: (i) If two lines intersect each other , then the vertically opposite angles are not equal. (ii) If a ray stands on a line , then the sum of two adjacent angles, so formed is equal to 180^(@) . Is this system of axioms consistent ? Justify your answer.

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