Question

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

Answer 1

Answer:

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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Answer 2

Step-by-step explanation:

angle of triangle = 60

60 +60+60 = the angles of triangle

180°= THE SUM OF ALL ANGLES OF A TRIANGLE

HENCE PROVED

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