Question

1.In the adjoining figure, show that line lis parallel to line m.​

Answer 1

Answer:

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Step-by-step explanation:

angle AME=130 degrees

angle AME+AMN=180 degrees

AMN=180-130=50 degrees.

AMN=MND (Alternate angles)

Therefore, l and m are parallel lines. (proved)

Answer 2

Given:

∠AME = 130°

∠MND = 50°

To prove: l is parallel to m

Proof:

For lines to be parallel, corresponding angles must be equal.

According to straight line theorem,

∠EMB + ∠EMA = 180°

∠EMB = 180° - 130° = 50°

Now, ∠EMB is equal to ∠MND and are corresponding angles.

Answer:

Since corresponding angles are equal, so the lines l and m are parallel to each other.