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27 September, 13:57

The ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?

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  1. 27 September, 14:16
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    The angles are 36°, 54° and 90°

    Step-by-step explanation:

    Sum of interior angles of a polygon is given by 180 (n - 2) where n is the number of sides.

    Sum of interior angles of a triangle is 180 (3 - 2) = 180°

    The ratio of the interior angles is 2:3:5

    So 2 + 3 + 5 should be equal to 180°

    If 10 = 180°

    Then 2 is 360°/10 = 36°

    And 3 is 540°/10 = 54°

    And 5 is 900°/10 = 90°
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