Mary is explaining the angle relationship of the interior angles of triangles to a coworker. she states that the angles should always add up to 180°. how can mary prove that this is true? (hint: imagine taking the angles and putting them side by side.)

Answer with explanation:

To Prove: Sum of Interior angles of triangle is 180°.

Proof:

  In ΔABC

Draw line l, parallel to BC.

∠1=∠2------(1)

∠3=∠4------(2)

As lines are parallel , So Alternate Interior angles are equal.

→→Angles, ∠1,∠3, and ∠5 lie on a line.That, is they form a linear pair.Sum of Angles in linear pair is 180°.

 ∠1+∠3+∠5=180°

→∠2+∠4+∠5=180°-------[Using 1 and 2]

⇒∠A + ∠B+ ∠C=180°

75

step-by-step explanation:

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step-by-step explanation: