The measures of the angles of a quadrilateral are in the ratio 2:3:6:7. Find the number of degrees in the largest angle of the q

Question

The measures of the angles of a quadrilateral are in the
ratio 2:3:6:7. Find the number of degrees in the largest
angle of the quadrilateral.

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Vodka 3 years 2021-07-29T01:50:42+00:00 1 Answers 53 views 0

Answers ( )

  1. Orla
    0
    2021-07-29T01:52:39+00:00
    Reply

    Answer:

    140

    Step-by-step explanation:

    Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.

    It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.

    Therefore the ratio you have been given must have 4 angles that add to 360.

    2x + 3x + 6x + 7x = 360

    18x =360

    x = 20

    So the 4 angles are

    2* 20 = 40

    3*20 =  60

    6*20 = 120

    7*20 = 140

    Total    360

    The largest angle is 140

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