Q. 34.7( 6 Votes )
The measures of the opposite angles of a parallelogram are (3x – 2)° and (50 – x)°. Find the measure of each angle of the parallelogram.
As we all know that, Opposite angels are congruent Consecutive angles are supplementary in parallelogram.
For opposite angles
3x-2 = 50-x [by above statement]
3x+x = 50+2
4x = 52
Angles are 50-13 = 37°
And for Consecutive angles
Y+ 37° = 180°
Y = 143°
Hence angles are 37°,143°,37,143°
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