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Prove that sum of all angles …

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Prove that sum of all angles of a triangle is 180

    • Posted by Tanya Singh 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 11 months ago

    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]

    3Thank You

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