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PLEASE HELP!!!!!!
Prove that the sum of the measures of the interior angles of a triangle is 180°. Be sure to create and name the appropriate geometric figures.

Respuesta :

You can use the Pythagorean theorem for this. A² + B² = C².

You can use this picture to get the proof.

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Answer:

Step-by-step explanation:

Let∠CBA,∠BAC  and ∠BCA be the interior angles of the triangle ABC and  Suppose that m || CB  as m is the straight line, therefore using the straight line property, we have

∠CAY+∠CAB+∠BAX=180°                       (1)

Since, m is parallel to BC and AB is transversal, thus

∠BAX=∠CBA(Alternate interior angles of parallel lines cut by a transversal are congruent)

and ∠CAY=∠BCA(Alternate interior angles of parallel lines cut by a transversal are congruent.)

Now, substituting the values of ∠BAX and ∠CAY in equation (1), we have

∠CBA + ∠BAC + ∠BCA = 180°.

Hence,  the sum of the measures of the interior angles of a triangle is 180°.

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