Asked 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.
Answers
Answered by
Reiny
let the angle be x
then its supplement is 180 - x
and its compliment is 90-x
angle's supplement is 50 more than 5 times its compliment
180-x = 5(90-x) + 50
180-x = 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!
then its supplement is 180 - x
and its compliment is 90-x
angle's supplement is 50 more than 5 times its compliment
180-x = 5(90-x) + 50
180-x = 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!
Answered by
Anonymous
Bravo