If measure of sides of a quadrilateral are given as AB -4 cm - CD -5 cm- and angles are given as - ABC -75- - BCD -45- and - CDA -135- then what additional information is required to construct a quadrilateral ABCD-A- - BADB- ADC- No additional informationD- BC

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If measure of...

Question

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as $∠ A B C = 75^{\circ}, ∠ B C D = 45^{\circ} a n d ∠ C D A = 135^{\circ}$ , then what additional information is required to construct a quadrilateral ABCD?

$∠ B A D$

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Solution

The correct option is C
BC

We can't draw a unique quadrilateral with all the measurements which are given. This is because we need the measurement of two adjacent sides and 3 angles to construct the quadrilateral ABCD. But with BC, we will have 6 sets of measurements and two known adjacent sides. Hence, we will be able to construct the quadrilateral ABCD.

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