1.

Three angles of a quadrilateral are in the ratio `4:6:3.` If the fourth angle is `100^(@)` find the three angles of the quadrilateral.

Answer» Let the three angles be 4x, 6x and 3x.
`{:(therefore,4x+6x+3x+100^(@)=360^(@)),(implies,13x=260^(@)),(implies,x=20^(@)):}`
`therefore` The other three angles are
`{:(,4xx20^(@)=80^(@)),(,6xx20^(@)=120^(@)),(,3xx20^(@)=60^(@)),(and,3xx20^(@)=60^(@)):}`


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