In a parallelogram ABCD, if ZA = (2x + 35)° and angleC = (3x – 5)º. Find : (i) the value of x (ii) measure of each angle of ABCD.
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begin mathsize 12px style angle end styleA and begin mathsize 12px style angle end styleC are opposite angles and they are equal, hence (3x-5) = (2x+35) or x = 40°
hence begin mathsize 12px style angle end styleA = begin mathsize 12px style angle end styleC = 115° and begin mathsize 12px style angle end styleB = begin mathsize 12px style angle end styleD = 65°
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