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21 November, 11:36

The ratio of the measures of the angle in a triangle is 4:10:6. Find the measures of the smallest angles

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  1. 21 November, 11:41
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    36° and 54°

    Step-by-step explanation:

    The sum of the 3 angles in a triangle = 180°

    Sum the parts of the ratio, 4 + 10 + 6 = 20 parts

    Divide 180 by 20 to find the value of one part of the ratio

    180° : 20 = 9° ← value of 1 part of the ratio

    4 parts = 4 * 9° = 36°

    10 parts = 10 * 9° = 90°

    6 parts = 6 * 9° = 54°
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