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Find the quadrilateral ABC, shown in the figure is a parallelogram. find the measure of x,y and z |
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Answer» Answer: Angle ABC = ?? Angle B = 44° Therefore, Angle B = 180° - 44° = 136° Angle B congruent to angle D ...... Since opposite ANGLES of a PARALLELOGRAM are congruent Therefore Angle B = angle D = 136° Angle A = angle B (exterior angle B) Since an exterior angle is SIMILAR to an interior angle lying on an equal ray Therefore Angle A = 44° Angle C = angle A Since opposite angles of a parallelogram are congruent Therefore, Angle A = angle C = 44° Final Answer :- x = angle C /2 = 44/2 = 22° y = angle D = 136° z = angle A /2 = 44/2 = 22° Answer :- x = 22° , y = 136° , z = 22° |
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