Proof sum of angles of a triangle is 180 degrees
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Prove that the sum of angles of a triangle is 180
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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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