Question

the angle of a quadrilateral are in the ratio 4:5:3 rhe diffrence of the least and the greatest of these angle is 42 find all the four angles of the quadrilateral​

Answer 1

$\pink{given : } \\ \\ \green{angles \: \: \: in \: \: \: ratio \: \: 4 : 5 : 3} \\ \\ \blue{greater \: \: \: angle \: : 42 } \\ \\ </p><p>\pink{To \: \: \: find : }all \: \: three \: \: \: angles \\ \\ </p><p>\pink{ \: solution : }let \: \: x \: \: \: common \: \: ratio \: \: \\ for \: \: all \\ \\ \pink{now} \\ \\ 4x + 5x + 3x + 42 = 360 \\ \\ 12x = 360 - 42 \\ \\ 12x = 318</p><p> \\ \\ x = \frac{318}{12} \\ \\ x = \frac{159}{6} \\ \\ \pink{now \: \: \: alll \: \: \: 3 \: \: \: angles} \\ \\ 4x = 4 \times \frac{159}{6} </p><p> \\ \\ 4x = \frac{2 \times 159}{3} \\ \\ 4x = 2 \times 53 \\ \\ 4x = 106 \\ \\ 5x = \frac{5 \times 159}{6} \\ \\ 3x = 3 \times \frac{159}{6} \\ \\ 3x = \frac{159}{2} </p><p></p><p>$

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