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Synthetic geometry involves the use of axioms, theorems and corollaries to solve problems; for instance, finding the measure of an angle such as in question (b) below. There are also 13 constructions required on the ordinary level course so it is important to spend time practising these constructions.

Sample question

(a) Four angles are shown below. Write in the space below each diagram whether the angle is straight, acute, obtuse, right or reflex.

(b)In the diagram below l1| | l2. Write the measure of each angle shown by an empty box into the diagram, without using a protractor.