MCQ
$ABCD$ is a Trapezium in which $\text{AB || DC}$ and $\angle\text{A}=\angle\text{B} = 45^\circ.$ Find $\angle\text{C}$ and $\angle\text{D}$ of the Trapezium.
  • $135^\circ , 135^\circ$
  • B
    $120^\circ , 120^\circ$
  • C
    $150^\circ , 150^\circ$
  • D
    $200^\circ , 50^\circ$

Answer

Correct option: A.
$135^\circ , 135^\circ$

$AB$ is parallel to $DC.$
$\angle\text{A} + \angle\text{D} = 180^\circ$ (co-interior angle)
$\angle\text{D} = 180^\circ - 45^\circ = 135^\circ$
Similarly by following same argument, $\angle\text{C} = 135^\circ.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free