Mathematics
Let angle ABC = 60° and angle ABD = 90°, then ∠CBD is equal to:
150°
30°
90°
none of these
Quadrilaterals Constructions
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Answer
From figure (i),
∠ CBD = ∠ ABD + ∠ ABC
= 90° + 60°
= 150°
From figure (ii),
∠ CBD = ∠ ABD - ∠ ABC
= 90° - 60°
= 30°
From figure (iii),
∠ CBD = 90°
Hence, option 4 is the correct option.
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