SOLUTION: 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.

Algebra.Com
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
RELATED QUESTIONS

One angle of a parallelogram measures 38°. What are the measures of the other three... (answered by qrowenthequeen)
One angle of a parallelogram measures 10°. What are the measures of the other three... (answered by Alan3354)
A parallelogram has one angle that measures 96°. What are the measures of the other three (answered by richwmiller)
A parallelogram has one angle that measures 175°. What are the measures of the other... (answered by Boreal,MathTherapy)
A parallelogram has one angle that measures 70°. What are the measures of the other... (answered by MathLover1)
The measures of the consecutive angles of a parallelogram are in the ratio of 4:6 Find... (answered by drk)
the measures of two supplementary (=180) angles are in a ratio 3:15. what are the... (answered by ewatrrr)
Two consecutive angles of a parallelogram have measures 4(x+5) and 2(3x+20),... (answered by stanbon)
the ratio of three angles in a triangle is 5:6:7. What are the measures of the... (answered by stanbon)