Theory:

Let's see how to construct a quadrilateral when three sides and two included angles are given.
Example:
Draw a quadrilateral $$PQRS$$, where $$PQ = 7 \ cm$$, $$QR = 8 \ cm$$, $$RS = 6.5 \ cm$$ and $$\angle Q = 75^\circ$$ and $$\angle R = 100^\circ$$.

Let us first draw the rough quadrilateral, which will help us to draw a fair quadrilateral.

Rough diagram:

Fair diagram:

Step 1: Draw a line segment $$QR = 8 \ cm$$.

Step 2: Construct $$\angle RQX = 75^\circ$$ using ruler and compass.

Step 3: With $$Q$$ as centre and $$7 \ cm$$ as radius, draw an arc, cutting $$QX$$ at $$P$$.

Step 4: Construct $$\angle QRY = 100^\circ$$ using protractor.

Step 5: With $$R$$ as centre and $$6.5 \ cm$$ as radius, draw an arc cutting $$RY$$ at $$S$$. Now, join $$PS$$. Thus, the quadrilateral $$PQRS$$ is obtained.