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□ABCD is a parallelogram and BC is extended. If ∠A = 40° then ∠DCE =A) 40° B) 140°C) 50° D) 60°

Answer»

Correct option is (A) 40°

\(\because\) ABCD is a parallelogram.

\(\therefore\) AB || DC

\(\therefore\) \(\angle DCE=\angle ABC\)    \((\because\) \(\angle DCE\;and\;\angle ABC\) are corresponding angles as AB || DE)

\(\Rightarrow\) \(\angle DCE=40^\circ\)   \((\because\) \(\angle ABC=40^\circ)\)

Correct option is A) 40°



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