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5 January, 18:55

Two angle of a quadrilateral measure 140 and 80. the other two angels are in a ratio of 3:4. what is the value of x? what are the measures of those two angles?

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Answers (2)
  1. 5 January, 19:22
    0
    60° and 80°

    Step-by-step explanation:

    The sum of the interior angles of a quadrilateral = 360°

    Given 2 angles in ratio 3 : 4 = 3x : 4x (x is a multiplier)

    Sum the 4 angles and equate to 360

    140 + 80 + 3x + 4x = 360, that is

    220 + 7x = 360 (subtract 220 from both sides)

    7x = 140 (divide both sides by 7)

    x = 20

    Thus

    3x = 3 * 20 = 60° and 4x = 4 * 20 = 80°
  2. 5 January, 19:23
    0
    Step-by-step explanation:

    Ratio = 3x : 4x

    Sum of angle of a quadrilateral = 360

    Therefore, 140+80+3x+4x = 360

    220+7x = 360

    7x = 360-220

    x = 140/7

    =20

    3x = 3*20=60

    4x=4*20=80
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