Math, asked by ravindra21061962, 4 days ago

EXTERIOR AND INTERIOR OPPOSITE ANGLES Let the side BC of a ABC be produced to D. Then, ZACD is called an exterior angle. Also, ZBAC and ZABC are called the interior B opposite angles, EXTERIOR ANGLE PROPERTY OF A TRIANGLE If a side of a triangle is produced then the exterior angle so formed is equal to the THEOREM sum of the two interior opposite angles. PROOF Let a side BC of a ABC be produced to D, forming exterior angle ZACD. A = We know that the sum of the angles of a triangle is 180° 4 +22+ 23 = 180° ... (1) But, Z3+ 24 = 180° ... (ii) (by linear pair property] From (i) and (ü), we get o di 4 + 22+ 23 = 23 + 24. 4+ Hence, 4 + Z2 = 24. 2. 3 B​

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