### Theory:

Let us learn how to construct a triangle if the measures of $$2$$ of its sides and the angle between them are known. To construct a triangle, first we shall draw a rough diagram which gives an idea where the sides would be. Let us consider an example.
Example:
Consider a triangle $$ABC$$ whose sides are $$AB = 4 \ cm$$, $$BC = 6 \ cm$$ and $$\angle ABC = 120^{\circ}$$.

Solution:

Step 1: First, we shall draw the rough figure of the triangle $$ABC$$ with the given measurements.

Step 2: Draw a line segment $$BC$$ of length $$6 \ cm$$.

Step 3: Place the protractor at $$B$$, draw $$\angle CBX$$ making an angle of $$120^{\circ}$$.

Step 4: With $$B$$ as centre, draw an arc of radius $$4 \ cm$$ which cuts $$BX$$ at $$A$$.

Step 5: Draw a line joining the points $$A$$ and $$C$$.

Thus, $$ABC$$ is the required triangle.