SOLUTION: five times the complement of an angle less than twice the angles supplement is 30 degrees. Find the measure of the supplement.

Question 334329: five times the complement of an angle less than twice the angles supplement is 30 degrees. Find the measure of the supplement.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
five times the complement of an angle less than twice the angles supplement is 30 degrees.
Find the measure of the supplement.
:
let a = "an angle"
we know
(90-a) = it's complement
and
180-a) = it's supplement
:
Write an equation for the statement:
"five times the complement of an angle less than twice the angles supplement is 30 degrees. "
5(90-a) - 2(180-a) = 30
450 - 5a - 360 + 2a = 30
-5a + 2a + 450 - 360 = 30
-3a + 90 = 30
-3a = 30 - 90
-3a = -60
a =
a = +20 degrees is the angle
but it says:
"Find the measure of it's supplement"
180 - 20 = 160 degrees
:
:
Check this in the statement:
five times the complement of an angle less than twice the angles supplement is 30 degrees.
5(90-20) - 2(160) = 30
350 - 320 = 30; confirms our solutions
RELATED QUESTIONS
The measure of the supplement of an angle is 30 degrees less than five times the measure... (answered by stanbon)

The measure of the supplement of an angle is 30� less than five times the measure of the... (answered by MathLover1)

The measure of the angles supplement is 30 degrees more than five times that of its... (answered by Fombitz)

please help me solve this asap ! thanks. five times the complement of an angle less... (answered by stanbon,checkley71)

five times the complement of an angle less twice the angle's supplement is 40 degrees.... (answered by ankor@dixie-net.com)

Five times the complement of an angle less twice the angle's supplement is 40 degrees.... (answered by drj)

The measure of the supplement of an angle is 30 defrees less than five times the measure... (answered by stanbon)

The supplement of an angle is 60 degrees less than twice the supplement of the complement (answered by BurningFlame_marc)

The supplement of an angle is 60 degrees less than twice the supplement of the complement (answered by ikleyn)