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Question
In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB.
Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: AB.
Solution
From the triangle ADC we have
tan 45° = `"AD"/"DC"`
1 = `(2)/"DC"`
DC = 2
Since AD || DC and AD⊥EC, ABCD is a parallelogram and hence opposite sides are equal.
Therefore AB = DC = 2 cm.
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