# Given two Adjacent Sides and Three Angles

Construct quadrilateral ABCD, given that = 7cm, = 4cm and

We cannot draw this quadrilateral if we do not know . We can find

Step :- (1) Draw a the line segment = 7cm.** **Draw using a protractor

(2) With A as centre and radius 4 cm cut an arc on the line.

(3) At B draw an angle of .

(4) At D draw an angle of with a protractor. Let the arms of these angles meet at C. ABCD is the required Quadrilateral.

Construction :-

rough figure |

To construct a quadrilateral given three angles and two included sides (ASASA case)

Let the given angles be

Here also, we can construct the quadrilateral directly, without dividing it into two triangles.

Construct AD = 6.1 cm.

At D, draw âˆ ADX = 68Â°.

With D as centre and radius 7.5 cm cut off

DC = 7.5 cm, on the ray DX.

At A, draw âˆ DAY =75Â°

At C, draw âˆ DCZ = 85Â°.

Let AY and CZ intersect at B.

Then ABCD is the required quadrilateral.