Question 266463: what is the measures of the angles of a parallelogram in which a pair of consecutive angles have measures in a ratio of 3 to 7.
Answer by vksarvepalli(154)   (Show Source):
You can put this solution on YOUR website! 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
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