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The angles of a quadrilateral are in the...

The angles of a quadrilateral are in the ratio `3:4:5:6.` Find all its angles.

Text Solution

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Let the angles are 3x,3x, 5x and 6x
`therefore" "3x+4x+5x+6x=360^(@)" "("sum of all the angles of qualdrilateral")`
`implies" "18x=360^(@)impliesx=20^(@)`
So, `" ""first angle"=3x=20^(@)=60^(@)`
`" ""second angle"=4x =4xx20^(@)=80^(@)`
`" ""third angle"=4x=4xx20^(@)=100^(@)`
and `" ""fourth angle"6x=6xx20^(@)-120^(@)`
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