the opposite angles of parallelogram ABC are given as A=(3x+20)and c=(2x+70)find the measures of each angle
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It's a property of parallelogram that opposite angles of a parallelogram are equal .
There fore , angle A = angle C
Or 3x + 20° = 2x + 70°
3x - 2x = 70° - 20°
x = 50°
Therefore , angle A = angle C = 3 × 50° + 20° = 170°
And angle B = angle D = 180° - 170° = 10°
Hence , 170° and 10° are the angles.
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