Question

□ABCD is a trapezium in which AB//CD. If ∠A = 45° then ∠D =

A) 45° 

B) 55° 

C) 135° 

D) 125°

Answer 1

Correct option is (C) 135°

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

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

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

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

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

Answer 2

Correct option is C) 135°