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printed 118 · PDF 119
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118
Q5b - Angle RMQ is known so angle RMP can also be calculated because
angles on a straight line add up to 180 degrees. Angles in a triangle also add
up to 180 degrees so angle RPM can also be calculated. The sine rule can be
used to find PM. Since M is the midpoint of line PQ, PM is equal to MQ. PM +
MQ = PQ. The length of PM can be doubled to find PQ which is the quantity
required by the question.