If one angle of a triangle is 14 degrees more than one of the others which is itself 4 degrees more than the smallest one then what is the are the angles of this triangle?

Given that the angles in a triangle will always add up to 180°, we can say: a + (a - 14°) + (a - 14° - 4°) = 180° where "a" represents the largest angle ∴ 3a - 32° = 180° ∴ 3a = 212° ∴ a = 70 2/3 The other two angles can be calculated by subtracting 14 and 4 degrees, giving us 70 and two thirds, 56 and two thirds, and 52 and two thirds.

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