Three angles of a quadrilateral are in the ratio 2:6:4. The difference of the least and the greatest of angles out of these angles is the four angle. Find all the angles of the quadrilateral..
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Answer:
Sum of all angles of quadrialteralis360
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⇒2x+6x+4x+P=360
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⇒12x+P=360
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→(i)
let atleast angle is2x and greatest angle is 6x,
Their difference(−2x+6x)=P,4x=P
⇒from equation,12x+4x=360
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,16x=360
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,x=22.5
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⇒∴∠A=2x=2×5=45,∠B=6x=135,∠C=90
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,∠D=90
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