Question

During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?

Answer 1

Suppose, we need to construct a quadrilateral whose two given sides are 'a' cm and 'b' cm and three given angles are x, y and z.

Step 1: Draw PQ = a cm.

Step 2: Construct angle measuring x° at point Q.

Step 3: With Q as centre and radius equal to b cm cut an arc to meet at R.

Step 4: Construct an angle measuring y° at point R.

Step 5: Construct an angle measuring z° at P.

Step 6: The point of intersection of both the lines is the required point. Let this point be S.

Thus, fourth point is plotted using lines made by any two angles.