UPSKILL MATH PLUS

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1. In a parallelogram \(ABCD\), the bisectors of the consecutive angles \(\angle A\) and \(\angle B\) intersect at \(P\). Show that \(\angle APB = 90^\circ\).
 
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2. In the figure \(ABCD\) is a parallelogram, \(P\) and \(Q\) are the midpoints of sides \(AB\) and \(DC\) respectively. Show that \(APCQ\) is a parallelogram.
 
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Important!
This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.