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One of the exterior angles of a triangle is 125° and the interior opposite angles are in the ratio 2 :3. Find the angles of the triangle.

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One of the exterior angles of a triangle is 125° and the interior opposite angles are in the ratio 2 :3. Find the angles of the triangle.

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Ratio of the interior opposite angles = 2 : 3 

Sum of the terms of the ratio = 2 + 3 = 5

Sum of the interior angles exterior angle = 125° 

∴ First angle = 2/5 x 125° = 500

Second angle = 3/5 x 125° = 75°

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