. An exterior angle of a triangle is 115 and one of the interior opposite angles is 35. Find the other two angles

Best Answer

Sol: Let ABC be a triangle in which BC is produced to D such that ACD = 115º.

Let B = 35º

By exterior angle theorem

Ext. ACD = B + A

115º = 35º + A

A = 115º – 35º = 80º

C = 180º – (80º + 35º) = 65º

Hence the other two angles are 80º and 65º

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