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In the given figure, choose a pair of adjacent angles -
Question

In the given figure, choose a pair of adjacent angles -

A.

∠ABC and ∠ABD

B.

∠ABD and ∠DBC

C.

∠ABC and ∠DBC

D.

None of These

Correct option is B

Important Key Points:

  1. Adjacent Angles: Two angles are adjacent if they have a common vertex and a common arm, and do not overlap.
  2. Shared Arm: In this case,∠ABD\angle ABDABand ∠DBC\angle DBCDBC share the common armBDBD Band have the common vertex BBB.

Knowledge Booster:

  • Option A: Incorrect, ∠ABC\angle ABCABC and ∠ABD\angle ABDABD do not share a common arm; ∠ABC\angle ABCABC is formed by the lines ABABAB and BCBCBC, whereas ∠ABD\angle ABDABD is formed by the lines ABABAB and BDBDBD.
  • Option C: Incorrect, ∠ABC\angle ABCABC and ∠DBC\angle DBCDBC are not adjacent because they do not share a common arm. They are formed by the lines ABABAB, BCBCBC, and BDBDBD, but not in the way required for adjacent angles.
  • Option D: Incorrect, as there are adjacent angles in the figure.

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