Question

Show that sum of interior angle of triangle is 180degree

Answer 1

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]

Answer 2

Answer:

the sum of all the angles in an interior triangle is 180°