Question

measure of opposite angle of a parallelogram are (3x-2)and (50-x) find the measure of its each angle

Answer 1

Hello,
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Measure of opposite angles of a parallelogram = (3x - 2) and (50 - x)

We know that,

In a parallelogram, opposite angles are equal.

So,

3x - 2 = 50 - x

=> 3x + x = 50 + 2

=> 4x = 52

=> x = 52/4

=> x = 13

Then,

50 - x = 50 - 13 = 37°

Then, the other two angles = [180° - (37° + 37°)]/2

= (180° - 74°)/2

= 106°/2

= 53°

Therefore, the angles of the parallelogram are 37° , 53°, 37°, 53° respectively.

HOPE IT HELPS