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.

Pairs of corresponding angles are :………………………..

Answer 1

Corresponding angles :

If two parallel lines are intersected by a transversal, then each pair of corresponding angles are equal in measure.

As shown in the given figure two parallel lines Line $1$ and Line $2$ are intersected by a transversal $t$ then $\angle 1$ and $\angle 2$ are the corresponding angles that are equal in measure (i.e. $\angle 1=\angle 2=50°$).

Similarly, as per the question :

$\angle 1,\angle 5$,

$\angle 4,\angle 8$,

$\angle 2,\angle 6$ and

$\angle 3,\angle 7$are the pairs of corresponding angles.

Hence pairs of corresponding angles are :

$\angle 1,\angle 5$,

$\angle 4,\angle 8$,

$\angle 2,\angle 6$ and

$\angle 3,\angle 7$.