Three angles of a quadrilateral are in the ratio 2:3:4. The sum of the

1.	Three angles of a quadrilateral are in the ratio 2:3:4. The sum of the least and the greatest of these three angles is equal to 180o. Find all the angles of this quadrilateral.
Answer» let the angles be 2x,3x and 4x sum of the LEAST and the GREATEST is 2x+4x=180 6x=180 x=30 then the angles are- 2×30=60, 3×30=90 and 4×30=120 let the last ANGLE be y then 60+90+120+y=360 270+y=360 y=90

Three angles of a quadrilateral are in the ratio 2:3:4. The sum of the least and the greatest of these three angles is equal to 180o. Find all the angles of this quadrilateral.

Answer»

let the angles be 2x,3x and 4x

sum of the LEAST and the GREATEST is 2x+4x=180

6x=180

x=30

then the angles are- 2×30=60, 3×30=90 and 4×30=120

let the last ANGLE be y

then 60+90+120+y=360

270+y=360

y=90

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Three angles of a quadrilateral are in the ratio 2:3:4. The sum of the least and the greatest of these three angles is equal to 180o. Find all the angles of this quadrilateral.

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