The opposite angles of a parallelogram are and Find the measure of each angle of the parallelogram.

Given:- Opposite angles of parallelogram and

Formula used:- opposite angles of a parallelogram are equal

Corresponding angles sum is 180°

Solution:-

Let ∠ A and ∠ C

∠ A = ∠ C [opposite angles of a parallelogram are equal]

3x-2=x+48

3x – x=48+2

2x=50

x=25

Then;

∠ A=∠ C=x+48=25+ 48 = 73°

∠ A+∠ B=180°

∠ B=180° - 73°

∠ B= 107°

∠ B = ∠ D [opposite angles of a parallelogram are equal]

Conclusion:-

Angles of parallelogram = 73°, 107°, 73°, 107°