3 sides and any 2 angles are sufficient to construct a quadrilateral.

True

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False

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Solution

The correct option is B
False

If the 2 angles are such that they are included angles for the 3 sides, then the construction is possible.

If the 2 angles are such that they are not the included angles for the 3 sides, then the construction is impossible.

For example, It is not possible to construct a quadrilateral ABCD with the measurements AB = 4cm, AD = 5cm, CD = 4.5cm, $∠$ ABC = $55^{\circ}$ and $∠$ BCD = $85^{\circ}$ .

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