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the four angles of a quadrilateral are in the ratio 4:5:2:7. find the measures of all the angles​

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Answer:

80    : 100:    40:   140

Step-by-step explanation:

The four angles of a quadrilateral add to 360 degrees.

Ratio

4 : 5 : 2: 7

Multiply each by x

4x: 5x : 2x : 7x  This total is 360 degrees

4x+5x + 2x+7x =360

18x = 360

Divide each side by 18

18x/18 = 360/18

x =20

The angles are

4x: 5x : 2x : 7x

4(20): 5(20) : 2(20) : 7(20)

80    : 100:    40:   140

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