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.

Answer :

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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