Question

Q28. The angles of a quadrilateral are in the ratio 3:5:9 .Find all the angles of the quadrilateral.​

Answer 1

$solution :$

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$let \: the \: four \: angles \: of \: quadrilateral \:$

$be \: 3x \: + 5x \: + 9x + 13x$

$3x + 5x \: + 9x \+ 13x \:= 360 \:°$

$(sum \: of \: all \: angles \: of \: quadrilateral \: is$

$360 \: °)$

$30 \: x = 360 \: °$

$x = 12 \: \: °$

$hence \: the \: angles \: of quadrilateral \:$ $are \: 3 \times 12 °= 36 ° \: 5 \times 12° = 60° \: \: 9 \times 12° =$ $108° \: \: and \: 13 \times 12° = 156°$

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