Question

prove that sum of angles of triangle is 180​

Answer 1

Step-by-step explanation:

THETHE ORDER TO PROVE THAT THE SUM OF ANGLES OF A TRIANGLE IS 180 YOU MUST KNOW THAT THEORIES OF ANGLE OF A TRIANGLE WE KNOW THAT ALTERNATIVE INTERIOR WE KNOW THAT ALTERNATIVE INTERIOR ANGLES ARE EQUAL MAGNITUDE NOW WE HAVE TO SUBSTITUTE THE ANGLES ANGLE P A B + ANGLE BAC + ANGLE C A Q IS EQUAL TO 180 DEGREE

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Answer 2

Answer:

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]