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Question

# Let us say you are required to construct a quadrilateral ABCD where the measurements are AB=5 cm,BC=3 cm,∠A=120°,∠B=110°, and ∠C=130°. A quadrilateral with the above specifications will be in the shape of:

A
Cannot construct a quadrilateral with the given specifications
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B
Parallelogram
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C
Square
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D
Trapezium
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Solution

## The correct option is A Cannot construct a quadrilateral with the given specificationsAccording to the angle sum property of quadrilaterals, the sum of all 4 angles should be equal to 360∘. Here, the sum of 3 given angles is 360∘ only and the fourth angle cannot be 0∘. So, the construction of quadrilaterals with the above specifications is not possible.

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