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Show that sum of angles(ABC)of a …

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Show that sum of angles(ABC)of a triangle is 180°

Posted by Daksh Arora 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 4 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]

2Thank You

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CBSE > Class 09 > Mathematics