SOLUTION: the measure of the angle's supplement is 30 degrees more than 4 times that of its complement. find the measure of the angle described
Algebra.Com
Question 277449: the measure of the angle's supplement is 30 degrees more than 4 times that of its complement. find the measure of the angle described
Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
The measure of the angle's supplement is 30 degrees more than 4 times that of its complement. Find the measure of the angle described.
Supplementary angles add up to 180 so if x is the angle its supplement is 180 - x.
Complementary angles add up to 90 so if x is the angle its complement is 90 - x.
We are given that
4 times (90 - x) + 30 = 180 - x
360 - 4x + 30 = 180 - x
210 = 3x
x = 70
Compliment is 90 - 70 = 20
Supplement is 180 - 70 = 110
4 times 20 + 30 = 110
RELATED QUESTIONS
The measure of an angle’s supplement is 30 degrees more than three times the measure of... (answered by nerdybill,math-vortex)
The measure of the angles supplement is 30 degrees more than five times that of its... (answered by Fombitz)
The measure of the angle supplement is 60 degrees more than four times of that of its... (answered by stanbon)
the measure of angle's supplement is 10 degrees more than three times that of its... (answered by cleomenius)
The measure of an angle’s supplement is 20o more than three times its complement. Find... (answered by stanbon)
Find the measure of an angle whose supplement measures 6 degrees more than 4 times its... (answered by mananth)
find the measure of an angle if the measure of its supplement is 4 degrees more than... (answered by Fombitz)
The Supplement of an angle measures 15 degrees more than four times its complement. Find... (answered by gonzo)
The measure of the supplement of an angle is 30 more than four times the measure of the... (answered by robertb)