1.

ABCD is a parallelogram. If ∠BAD = 110°, then ∠DCE =A) 70° B) 55° C) 35° D) 60°

Answer»

Correct option is (A) 70°

\(\because\) \(\angle C\;\&\;\angle A\) are opposite angle in parallelogram ABCD.

\(\therefore\) \(\angle C=\angle A\) = \(110^\circ\)

\(\Rightarrow\) \(\angle BCD\) = \(110^\circ\)

Since, \(\angle BCD\;\&\;\angle DCE\) form a linear pair.

\(\therefore\) \(\angle BCD+\angle DCE\) = \(180^\circ\)

\(\Rightarrow\) \(\angle DCE\) \(=180^\circ-\angle BCD\)

\(=180^\circ-110^\circ\)

\(70^\circ\)

Correct option is  A) 70°



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