Question

① In the given fig, if l ‖‖m and n ‖‖ m then what is the relation among ∠1 , ∠2, ∠3 ?​

Answer 1

Given that ,

"T" transversal intersects line "L" "M" "N"

So these are called " corresponding angles " which are all equal to each other .

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Answer 2

Given:

In the given fig, if l ‖m and n ‖ m

Solution:

Know that the pair of angle found at the same relative position to the parallel lines are known as the corresponding angles and the measure of the corresponding angles is equal.

Refer the question image.

Observe that,

Since  l ‖m and n ‖ m,

Therefore $\[\angle 1\]$ is corresponding to $\[\angle 2\]$ and $\[\angle 2\]$ is corresponding to $\[\angle 3\]$

$\[\therefore \angle 1 = \angle 2 = \angle 3\]$

$\[ \Rightarrow \angle 1:\angle 2:\angle 3 = 1:1:1\]$

Hence, the the $\[\angle 1:\angle 2:\angle 3 = 1:1:1\]$.