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Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

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