# One angle is 2/3 of its supplementary angle is 180 degree. find its magnitude?

2
by devjangra40

2015-02-11T22:58:55+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let one angle is x then its supplementary angle is 2x/3
x + 2x/3 = 180
5x/3 = 180
x = 108
supplementary angle is 2*108/3 = 72
2015-02-11T23:02:11+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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