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Question

Three angles of a quadrilateral are in the ratio 8 : 11 : 7. If fourth angle is 100°, then the other three angles of the quadrilateral are respectively ___.


A

80, 120, 60

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B

80, 110, 70

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C

30, 150, 80

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D

40, 130, 90

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Solution

The correct option is B

80, 110, 70


Let the three angles be 8x, 11x and 7x.

8x+11x+7x+100=360 (Angle sum property of quadrilateral)

26x+100=360

26x=360100=260

x=26026=10

The other angles are:

8x=8×10=80

11x=11×10=110

7x=7×10=70


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