Question

Find the magnitude of an angle which is
(i) 2/3 of its supplement
​

Answer 1

Answer:

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

Please mark as brainleast

Answer 2

Sum of supplement angles are 180°

X+2x/3=180

3X+2X=180*3

5X=540

X=108°

Other angle is 180-108=72°

Hope it helps...