Question

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). We can say that $\angle C\ne \angle D$

• A. True
• B. False

Answer 1

The correct option is B False

As, AB || CD
$\angle A=\angle D={180}^{\circ }$ ( Angles on the same side of the transversal)
Also, $\angle C=\angle B={180}^{\circ }$ ( Angles on the same side of the transversal)
$\angle A+\angle D=\angle C=\angle B$
However, $\angle A=\angle B$ [Using the result obtained in (i)]
$\therefore \angle C=\angle D$