uptetd16p2 q137

0. 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

  • Option : D
  • Explanation : (D) (i) Vertex is always common. (false)
    It is not necessary that vertex is always common as in case of parallel lines, vertex is not common of lines which forms pair of adjacent angles ∠1 and ∠2 are adjacent angles. But vertex is not common.

    (ii) One arm is always common. (True)
    In both figure (a) and (b), l is the common arm.

    (iii) Uncommon arms are always opposite rays (True)
    In both figure, X and Y are uncommon arms. And, they are always opposite rays.
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