Question

Look at the following figure and fill in the blanks :

In the figure, $l$ and $m$ are the parallel lines and $p$is a transversal.

$\angle 5+\angle 2=$…………..

Answer 1

Co-interior angles :

Co-interior angles or consecutive interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to $180°$. As shown in the given figure :

Similarly, as per the question :

$\angle 5$ and $\angle 2$ form a pair of co-interior angles

$\angle 5+\angle 2=180°$ ($\because$co-interior angles adds up to $180°$)

Hence, $\angle 5+\angle 2=180°$.