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The exterior angles, obtained on producing the base of a triangle both ways are 104° and 136°. Find all the angles of the triangle.

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∠BAC = ∠EAF = 45° [Vertically opposite angles]

∠ACD = 180° – 105° = 75° [Linear pair]

∠ABC = 105° – 45° = 60° [Exterior angle property]

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