Question

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 ${180}^o$.
Is this system of axioms consistent?

• A. Yes
• B. No
• C. Ambiguous
• D. Data Insufficient

Answer 1

The correct option is B No

(i) Vertically opposite angles are equal. hence first axiom is not consistent
(ii) Sum of two adjacent angles of a line is 180 degree. hence second axiom is consistent.