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From the given figure(i) Find the magnitude of ∠BOD(ii) Find the magnitude of ∠AOD(iii) Write the pair of vertically opposite angles.(iv) Name the adjacent supplementary angles of ∠AOC |
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Answer» (i) ∠AOC = 52° (given) ⇒ ∠BOD = 52° (Vertically opposite angles) (ii) ∠AOC + ∠AOD = 180° (Linear pair axiom) ⇒ 52° + ∠AOD = 180° ⇒ ∠AOD = 180° – 52° ⇒ ∠AOD = 128° (iii) (∠AOC, ∠BOD) and (∠AOD, ∠BOC) are vertically opposite pairs of angles. (iv) The adjacent supplementary angles of ∠AOC are ∠AOD and ∠BOC. |
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