If the angles of a triangle are in the ratio 7 : 8 : 3, then what is the value of the largest angle?

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The angles of a triangle add up to 180°. Given the ratio of the angles is 7 : 8 : 3, let the common multiplier be x. Then the angles are 7x, 8x, and 3x. Their sum is 7x + 8x + 3x = 18x = 180°. Solving for x gives x = 180° / 18 = 10°. The largest angle corresponds to the largest ratio number, which is 8. Therefore, the largest angle = 8x = 8 * 10° = 80°.

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