Mathematics

ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB is

  1. 40°

  2. 45°

  3. 50°

  4. 60°

Rectilinear Figures

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Answer

From figure,

ABCD is a rhombus such that ∠ACB = 40°. Then ∠ADB is? Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

⇒ ∠DAO = ∠OCB = 40° (Alternate angles are equal.)

In △ADO,

⇒ ∠DAO + ∠AOD + ∠ODA = 180°

⇒ 40° + 90° + ∠ODA = 180°

⇒ ∠ODA = 180° - 130° = 50°.

From figure,

∠ADB = ∠ODA = 50°.

Hence, Option 3 is the correct option.

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