Question

In trapezium $ABCD,\overline{AB}\parallel \overline{DC}$. If $\angle D=x^{\circ }$ then $\angle A=$ $m-\angle D$.Find $m$(in degrees)

Answer 1

$ABCD$ is a trapezium where, $AB\parallel DC$ and $AD$ is a transversal.

$\therefore$ $\angle A+\angle D={180}^o$ [ Sum of adjacent angles between parallel lines are supplementary ]

$\Rightarrow$ $\angle A={180}^o-\angle D$ ---- ( 1 )

Comparing ( 1 ) with $\angle A=m-\angle D$ we get,

$m={180}^o.$