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15 June, 15:57

A quadrilateral has two angles that measure 31° and 249°. The other two angles are in a ratio of 3:17. What are the measures of those two angles?

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Answers (2)
  1. 15 June, 19:10
    0
    Step-by-step explanation:

    We first need to find the measure of the other 2 angles. The angles of a quadrilateral all add up to equl 360, so:

    360 - 249 - 31 = 80

    The other 2 angles add up to equal 80 degrees. If these angles exist in a 3:17 ratio, then algebraically,

    3x + 17x = 80 and

    20x = 80 so

    x = 4. That means that one angle is 3 (4) = 12 and the other angle is 17 (4) = 68.

    249 + 31 + 12 + 68 = 360.
  2. 15 June, 19:35
    0
    Step-by-step explanation:

    Given 1st angle = 31° and 2nd angle = 249°

    Let the remaining two angles be 3x and 17x

    31° + 249° + 3x + 17x = 360°

    280° + 20x = 360°

    20x = 360° - 280°

    20x = 80°

    Therefore x = 4°

    Now

    Measurements of both angles

    3x = 3 * 4° = 12°

    17x = 17*4° = 68°
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