\(ABCD\) is a quadrilateral in which \(AB=5cm,CD=8cm\) and the sum of angle\( A \)and angle \(D\) is \(180^{\circ }\). What is the name of this quadrilateral?（ ）
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\(ABCD\) is a quadrilateral in which \(AB=5cm,CD=8cm\) and the sum of angle\( A \)and angle \(D\) is \(180^{\circ }\). What is the name of this quadrilateral?（ ）
Answer
B
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Solution
we have given that \(ABCD\) is a quadrilateral as we can see in the figure above the sides \(AB=5\ cm\) and side \(CD = 8\ cm\).
\(\angle A +\angle D = 180^{\circ} \) (given)
If a quadrilateral have sum of supplementary angle as \(180^{\circ}\) and the opposite sides are unequal(given) then the quadrilateral is a Trapezium.
Hence, Quadrilateral \(ABCD\) is a Trapezium.
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