In the following figure, if $∠ 1$ = $∠ 5$ and $∠ 3$ = $∠ 7$ , then the lines l and m are _____.

Open in App

Solution

Given, $∠ 1$ = $∠ 5$ , $∠ 3$ = $∠ 7$
The given angles form a pair of corresponding angles and they are equal.

Hence, by converse of corresponding angles theorem, we can say that lines l and m are parallel to each other.

Suggest Corrections

Similar questions

In the figure, if lines l and m are parallel lines, then x =

∠ 1

∠ 5

∠ 3

∠ 7

∠ 1

∠ 5

∠ 3

∠ 7

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.

If $∠ 1 = 150 °$ , then $∠ 3 =$ ………

In the given figure two parallel lines l,m are intersected by a tranversal. If $∠ 2 = 65^{\circ}$ then $∠ 7$ and $∠ 6$ are

Join BYJU'S Learning Program