Question

Check whether l || m in the following figures.

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Answer 1

$\sf\fbox\pink{Solution:-}$

Given:-

Let the angle opposite to 100° be x

Then, x = 100° ( VOA)

Now, x + 70° = 100° + 70° =170° ≠ 180°

∴ x and 70° are not supplementary or interior angles are not supplementary.

Hence, l is not parallel to m.

Answer 2

$\sf\huge\bold{Answer:}$

Given :

$\sf{n\: is\: a\: transversal \:line}$

∠1 = 100°

∠2=$\sf{x}$

∠3=70°

To find :

Whether ${l||m}$ or not

Solution :

Lines n and l intersect each other

$:⟶∠1 = ∠2$

$\fbox{Vertically opposite angles}$

$:⟶100 \degree \: = x$

$:⟶x = 100 \degree$

$\fbox{To check whether the sum of co-interior angles is 180° or not }$

$:⟶∠2 + ∠3 = 180 \degree$

$:⟶x + 70 \degree = 180 \degree$

$:⟶100 \degree + 70 \degree = 180 \degree$

$:⟶170 \degree≠180 \degree$

Since,sum of co-interior angles is not 180°

$\sf{l∦m}$