Question

According to the diagram, tap on the correct pair of parallel lines.

• A. $MC\&NQ$
• B. $MD\&NP$
• C. None of these.

Answer 1

The correct option is A $MC\&NQ$

According to the diagram:

Now, $\angle AMD\ne \angle MNP$ and $\angle DMC\ne \angle PNQ$
$\Rightarrow MD$ is not parallel to $NP$
$\angle AMC=\angle AMD+\angle DMC$
$\Rightarrow \angle AMC={58}^{\circ }+{22}^{\circ }={80}^{\circ }$
Also, $\angle MNQ=\angle MNP+\angle PNQ$
$\Rightarrow \angle MNQ={56}^{\circ }+{24}^{\circ }={80}^{\circ }$
$\Rightarrow \angle AMC=\angle MNQ$
And, these are corresponding angles for the lines $MC\&NQ$ when $AB$ is a transversal
$\Rightarrow MC$ is parallel to $NQ$.