Verticallly Opposite Angle Theorem|Axioms

Linear Pair Angle|Questions|Vertically Opposite Angles|Theorem|Example|OMR

Lines And Angles|Linear Pair Axioms|Theorem (Vertically Opposite Angles)|Axioms (Corresponding Angles)|Theorem 1 (Alternate Interior Angles)|Theorem 2 (Alternate Interior Angles)

Some Basic Definitions|Types Of Angles|Complementary And Supplementary Angles|Adjacent Angles|Linear Pair Of Angles|Vertically Opposite Angles|Axioms

Some Basic Definitions|Types Of Angles|Adjacent Angles|Complementary And Supplementary Angles|Linear Pair Of Angles|Vertically Opposite Angles|Axioms

Some Basic Definition-Collinear And Non Collinear Points |Angles & Its Types|Complementary And Supplementary Angles|Relation Between Two Angles-Adjacent Angles|Linear Pair Of Angles,Vertically Opposite Angles|Axioms |Theorem |Transversal |Corresponding Angles,Alternate Interior Angles,Co-interior Angles

Angle Measure Axioms

Vertically opposite angles are always

Prove that vertically opposite angles are equal.

Lines And Angles|Linear Pair Axioms|Theorem (Vertically Opposite Angles)

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.