Half of an angles supplement is 10 more than its complement. What are the two angles?

Answer 1

Hi Vincent,

let’s call the angle x

supplement:

x + s = 180

s = 180 - x

compliment:

x + c = 90

c = 90 - x

if half its supplement is equal to 10 more than its compliment, we can put that into an equation…

1/2 s = c + 10

1/2(180-x) = (90-x) + 10

solve for x:

90-1/2x = 100-x

1/2x = 10

x = 20

the angle is 20 degrees