Question

$ABCD$ is a trapezium in which $\overline{AB}||\overline{DC}$. If $\angle A=\angle B={30}^o$, what are the measures of the other two angles.

Answer 1

Given,

$\overline{AB}\parallel \overline{DC}$

So,

$\begin{array}{c}\angle DCB+\angle ABC=180\\ \Rightarrow \angle DCB+30={180}^0\\ \Rightarrow \angle DCB={150}^0\end{array}$

Similarly,

$\angle ADC={150}^0$