Question

draw a figure of a quadrilater that is not a parallogram but has exactly two opposite angle of equal measure​

Answer 1

Step-by-step explanation:

ABCD is a figure of quadrilateral that is not a parallelogram but has exactly two opposite angles that is ∠B = ∠D of equal measure. It is not a parallelogram because ∠A ≠ ∠C. Hence, it is kite.

Answer 2

Step-by-step explanation:

LetusdrawanangleBAC=zwithAB=AC=a.

CenteringB&Ctwoarcsofradiusb(



=a)twoarcs

aredrawnwhichintersectatC.

BC&DCarejoined.

ThenABCDisthedesiredquadrilateral.

Justification−

Byconstruction

AB=AD⟹∠ABD=∠ADB=x....(i)

Again,byconstruction

BC=DC⟹∠DBC=∠BDC=y.....(ii)

Addingi&iiweget

∠ABD+∠DBC=∠ADB+∠BDC=x+y

⟹∠ADC=∠ABC=x+y

i.e∠B=∠D.

Now∠BAC&∠BDCstandonsamelineBDbutdistance

ofA&CfromBDarenotsameasAB(orAD)&BC(orDC)

arenotequal.

∴ABCDisaquadrilateralwhichhasexactlytwoopposite

anglesequal.

AlsoitissymmetricalaboutthelinejoiningAC.

Soitisakite.

Ans−Kite

solution