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mediumMCQUPTET Paper 2 (Maths & Science)2026Mathematics and Science
1 mark

In a pair of adjacent angles: (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then

  1. A
    (ii) is false.
  2. B
    (iii) is false
  3. C
    All (i), (ii) and (iii) are true.
  4. D
    (i) is false, but (ii) and (iii) are true.

Solution & Step-by-step Explanation

By definition, two angles are adjacent if they have a common vertex, a common arm, and their uncommon arms lie on opposite sides of the common arm. Statement (iii) claims the uncommon arms are always opposite rays—this specific condition is only true for a linear pair of angles, not all general adjacent angles. Therefore, statement (iii) is false.

Practice this question

Try it yourself before checking the explanation above.

In a pair of adjacent angles: (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then
A
(ii) is false.
B
(iii) is false
C
All (i), (ii) and (iii) are true.
D
(i) is false, but (ii) and (iii) are true.

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