1.

□ABCD is a trapezium in which AB//CD. If ∠A = 45° then ∠D =A) 45° B) 55° C) 135° D) 125°

Answer»

Correct option is (C) 135°

Sum of interior angles on the same side of a transveral of two parallel lines is \(180^\circ.\)

\(\therefore\) \(\angle A+\angle D=180^\circ\)

\(\Rightarrow\) \(\angle D=180^\circ-\angle A\)

\(=180^\circ-45^\circ\)

\(\Rightarrow\) \(\angle D=135^\circ\)

Correct option is C) 135°



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