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The degree measures of the angles of a quadrilateral are in the ratio 4: 6: 7: 3: what are the measures of the smallest and the largest angels of the quadrilateral​

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The sum of the interior angles of a quadrilateral is equal to 360°.

Solution:

Let: x = measurement of the angle

4x + 6x + 7x + 3x = 360

20x = 360

20x/20 = 360/20

x = 18

For the smallest angle:

3x = 3(18) = 54°

For the largest angle:

7x = 7(18) = 126°

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