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The angles of a quadrilateral are in the...

The angles of a quadrilateral are in the ratio `4:3:6:5.` Show that it is a trapezium.

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`Let angleA=4x,angleB=3x,angleC=6x and angleD=5x` in a quadrilateral ABCD. We know that
`{:(,angleA+angleB+angleC+angleD=360^(@)),(implies,4x+3x+6x+5x-360^(@)),(implies,x=20^(@)):}`
`thereforeangleA=80^(@),angleB=60^(@),angleC=120^(@)and angleD=100^(@)`
Now, `angleA+angleD+=angleB+angleC=180^(@)`
`implies` Quadrilateral ABCD is a trapezium.
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