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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

x + 2x/3 = 180

5x/3 = 180

x = 108

supplementary angle is 2*108/3 = 72

### 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

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