Question 266463
in a parallelogram, opposite angles are equal and 
                   the sum of adjacent angles is 180 degrees


now given a pair of consecutive angles have measures in a ratio of 3 to 7

so let the angles be 3x and 7x degrees

so 3x+7x=180

=> 10x=180

thus x=18 degrees

so the angles will be 54 degrees and 126 degrees

the angle opposite to 54 degrees will also be 54 degree and similarly the other angle will be 126 degrees


so the measure of the angles are(in degrees)
    
         54,126,54,126