Question

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 1

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