Question
Find $m\angle C$ in the figure. If $\overline {AB} \parallel \overline {DC} $.

Answer

$\because AB\parallel DC$
$\therefore m\angle C + m\angle B = 180^\circ $ [Co-interior angles]
$ \Rightarrow m\angle C + 120^\circ = 180^\circ $
$ \Rightarrow m\angle C + 180^\circ - 120^\circ = 60^\circ $.

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