Question

In the adjoining figure, if line AB || line PQ and line LM is a transversal, if $\angle MNQ={70}^o,$ then find $\angle AON.$

• A. ${70}^o$
• B. ${140}^o$
• C.
  ${90}^o$
• D. ${110}^o$

Answer 1

The correct option is D ${110}^o$

$\angle MNQ=\angle ONP={70}^o$ ... (Opposite angles)
$\angle AON+\angle ONP={180}^o$ ...(Interior angles)
$\therefore \angle AON={180}^o-\angle ONP$
$={180}^o-{70}^o$
$={110}^o$