Question

ABCD is a quadrilateral. The measurements of AB, BC, CD and DA are known. Which among the following is required to construct a quadrilateral?

• A. $\angle$ DAC
• B. $\angle$ ADC
• C. $\angle$ ABD
• D. $\angle$ BCA

Answer 1

The correct option is B $\angle$ ADC

Using 4 sides and 1 angle we can construct a quadrilateral.

From the question, the measurements of sides are known. we need one angle to construct a quadrilateral.

$\angle$ DAC is not the angle of the quadrilateral ABCD.
$\angle$ ADC is the angle of the quadrilateral ABCD.
$\angle$ ABD is not the angle of the quadrilateral.
$\angle$ BCA is also not the angle of the quadrilateral.

$\angle$ ADC is required to construct the quadrilateral.