Question

supplement of 180-a-b​

Answer 1

Step-by-step explanation:

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 

hope this will help you.

thank you