SOLUTION: Please help me solve this problem. The measure of an angle is 2/3 the measure of its supplement. Find the measure of the angle and its supplement.

Algebra.Com
Question 87933: Please help me solve this problem.
The measure of an angle is 2/3 the measure of its supplement. Find the measure
of the angle and its supplement.

Answer by jayanthihemkos@yahoo.com(87)   (Show Source): You can put this solution on YOUR website!
The measure of an angle is 2/3 the measure of its supplement. Find the measure
of the angle and its supplement.
let one angle be = x
then its supplement =( 180-x)
according to the sum we have
x = 2/3 (180-x)
x = 2/3*180 - 2/3*x
x = 2*60-2/3x
x+2/3*x= 120-2/3*x+2/3*x
3x+2x/3 = 120
5x/3*3= 120*3
5x = 360
5x/5 = 360/5
x = 72 degrees
the supplement angle = 180-72 = 108 degrees


RELATED QUESTIONS

Please help me solve this problem. The measure of an angle is 20 less than the measure... (answered by stanbon)
Please help me solve this problem. The measure of an angle is 3/4 the measure od its... (answered by madhujiithcharu@yahoo.co.in)
Kindly solve this problem. The measure of an angle is 20 less than the measure of its... (answered by malakumar_kos@yahoo.com)
Please help me solve this problem, it is from a worksheet: the measure of angle b, the (answered by nerdybill)
Please Help me solve this : find the difference between the measure of the supplement of... (answered by stanbon)
1.(The measure of an angle is 5 times the measure of its supplement. Find the original... (answered by ReadingBoosters)
Please help me solve this problem. Three times the measure of a complement of a certain... (answered by malakumar_kos@yahoo.com)
Please help me with this problem, I would really appreciate it: Angle A is 8 more than 3... (answered by rfer)
The measure of an angle is 3 times the measure of its supplement. Find the measure of... (answered by stanbon)