Prove that the sum of the angles of a triangle is 180°​

Question

Prove that the sum of the angles of a
triangle is 180°​

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Madeline 2 months 2021-10-09T17:52:42+00:00 2 Answers 0 views 0

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    0
    2021-10-09T17:54:09+00:00

    Answer:

    refer to attachment please (◕‿◕)

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    0
    2021-10-09T17:54:11+00:00

    Step-by-step explanation:

    In order to prove that the sum of angles of a triangle is 180, you must know the theorems of angles of a triangle.

    We know that, alternate interior angles are of equal magnitude.

    This’ll help us get the answer. Let us assume a triangle ABC. Now we have to substitute the angles.

    ∠PAB + ∠BAC + ∠CAQ = 180°. where PQ line parallel to side BC touching vertex A.

    ∠PAB = ∠ABC & ∠CAQ = ∠ACB BECAUSE alternate interior angles are congruent..

    Hence we get, ∠ABC + ∠BAC + ∠ACB = 180° [Proved]

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