How can I prove also using the 'alternate opposite angle' method? (Sum of all angles of a triangle)

Md Ariful Islam

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Dr. Md Rushad Rahman

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Your exterior angle will be alternately and oppositely equal to the interior angle, since the lines between which the triangle lies in the proof diagram will be parallel. The sum of the angles touching the line with only one vertex will be 180, as they all lie on the same line. The alternate opposite exterior angles will be equal to the alternate opposite interior angle because of the alternate opposite interior angle . The exterior angle A would be equal to angle D, B to E and C to C. A + B + C =180 (all lie on the same line, 2 exterior 1 interior angle), A = D (alternately opposite interior angles), B = E (same reason). 4.C=C 5.therefore C + D + E=180 Hence proved

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