Question

Check whether L is parallel to m in each of the following figures. Give reasons for your answer

Answer 1

$\mathbb{ELLO \ THERE!}$

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Ways to check If l║m

If corresponding angles are equal, l║m.

If co-interior angles are equal, l║m.

If alternate interior angles are equal, l║m.

If any one condition is obeyed, we can tell the lines are parallel.

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First lets find angles that are able to be found.

∠PQS + 60° = 180° (Linear pair)

∠PQS = 180° - 60°

∠PQS = 120°

Now, we can see that corresponding angles PQS and PQM are equal,

Since corresponding angles are equal the lines are parallel!

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$\mathsf{THANK \ YOU}$