2015 · Q92
Let OA, OB, OC and OD are rays in the anticlockwise direction such that ∠AOB=∠COD=100°,∠BOC=82° and ∠AOD=78° Consider the following statements :
- 1AOC and BOD are lines.
- 2∠BOC and ∠AOD are supplementary.
Which of the above statements is /are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
Anticlockwise, ∠AOC = 100° + 82° = 182° ≠ 180°, so AOC is not a straight line — statement 1 false. ∠BOC + ∠AOD = 82° + 78° = 160° ≠ 180° — statement 2 false. 'Neither' (option D).