Read the following two statements which are taken as axioms: (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 $$180^0$$. Is this system of axioms consistent? Justify your answer.
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The given system of axioms is not consistent because if a ray stands on a line and the sum of two adjacent angles so formed is equal to $$180^0$$. then for two lines which intersect each other, the vertically opposite angles becomes equal.
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Q1
Read the following two statements which are taken as axioms: (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 $$180^0$$. Is this system of axioms consistent? Justify your answer.
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Q2
Read the following two statements which are taken as axioms: (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 angles so formed is equal to . Is this system of axioms consistent? Justify your answer.
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Q3
Read the following two statements which are taken as axioms : (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 180o. Is this system of axioms consistent?
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Q4
Read the following statement which is taken as axiom: (i) If two lines intersect each other, then the vertically opposite angles are not equal.
Is this axiom consistent? Justify your answer.
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Is this axiom consistent? Justify your answer.
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Q5
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