Question

Prove that the summer of the angels of triangle is 180

Answer 1

Step-by-step explanation:

construction:-Make a triangle ABC ,and draw MN parallel to BC and passing through point A

Proof:-in the figure that you will make you will observe that angle ABC is equal to angle MAB(alternate interior angle) and angle ACB is equal to angle NAC (alternate interior angles)

Now, angle MAB+angle BAC+angle NAC=180°(Linear pair axiom)

so, now angle ABC+angle BAC+angle ACB=180° ( since angle ABC=MAB and angle ACB=NAC)

so, angle ABC+angle BAC+angle ACB=180°

since angle ABC, BAC, ACB are the interior angles of triangle ABC and its sum is 180°

so, sum of all interior angles of triangle is 180°

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