1.

Three angles of a quadrilateral are `75^(@),90^(@) and 75^(@)`, then the fourth angle isA. `90^(@)`B. `95^(@)`C. `105^(@)`D. `120^(@)`

Answer» Correct Answer - D
Given, `angleA=75^(@), angleB=90^(@) and angleC=75^(@)`
We know that, sum of all the angles of a quadrilateral is `360^(@)`.
`angleA+angleB+angleC+angleD=360^(@)`
`rArr" "75^(@)+90^(@)+75^(@)+angleD =360^(@)`
`therefore" "angleD=360^(@)-(75^(@)+90^(@)+75^(@))` ltBrgt `=360^(@)-240 ^(@)=120^(@)`
Hence, the fourth angle of a quadrilateral is `120^(@)`.


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