Parallelogram Construction and Bisectors

Parallelogram Construction and Bisectors

Secondary 1
  1. Construct, and label a parallelogram \(ABCD\) in which \(AB=10\) cm, \(AD=4\) cm and angle \(BAD=75{}^\circ \).
  2. Construct the angle bisector of angle \(ADC\).
  3. Construct the perpendicular bisector of \(DC\).
  4. Mark the point at which the angle bisector of angle \(ADC\) intersect the perpendicular bisector of \(DC\) as \(X\) and hence measure the reflex angle \(AXB\).

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Answer:(d) Reflex \(\angle AXB\approx237.5^\circ\).

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