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Mathematics

Let angle ABC = 60° and angle ABD = 90°, then ∠CBD is equal to:

  1. 150°

  2. 30°

  3. 90°

  4. none of these

Quadrilaterals Constructions

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Answer

From figure (i),

Let angle ABC = 60° and angle ABD = 90°, then ∠CBD is equal to: Constructions, Concise Mathematics Solutions ICSE Class 8.

∠ CBD = ∠ ABD + ∠ ABC

= 90° + 60°

= 150°

From figure (ii),

Let angle ABC = 60° and angle ABD = 90°, then ∠CBD is equal to: Constructions, Concise Mathematics Solutions ICSE Class 8.

∠ CBD = ∠ ABD - ∠ ABC

= 90° - 60°

= 30°

From figure (iii),

Let angle ABC = 60° and angle ABD = 90°, then ∠CBD is equal to: Constructions, Concise Mathematics Solutions ICSE Class 8.

∠ CBD = 90°

Hence, option 4 is the correct option.

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