Question

Prove that if a side of a triangle in produced there the exterior angles so form is equal to the sum of the two interior opposite angles

Answer 1

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Answer 2

Answer:

Let the angles of the triangle be a, b, c. Let the exterior angle be d (exterior angle of c). c+d=180° (linear pair) c=180°-d.............( Eq. 1) a+b+c=180° (angle sum property) Substituting the value of c from eq. 1, a+b+180°-d=180° a+b=180°-180°+d a+b=d Hence proved.

Step-by-step explanation: