geometry
posted by jackie .
The measure of the angle’s supplement is 50 degree more than five times that of its complement. Find the measure of the angle described.

let the angle be x
then its supplement is 180  x
and its compliment is 90x
angle's supplement is 50 more than 5 times its compliment
180x = 5(90x) + 50
180x = 450  5x + 50
4x = 320
x = 80
the angle described is 80°
check:
the supplement is 100
the compliment is 10
is 100 fifty more than 5 times 10 ?
YES!