SOLUTION: If a supplementary angle is 20 more than 3 times the complent, then the measure of the angle is?

Question 500867: If a supplementary angle is 20 more than 3 times the complent, then the measure of the angle is?
Answer by geetha_rama(94) (Show Source): You can put this solution on YOUR website!
Let x be the complementary angle and y be the supplementary angle.
y = 3x + 20 -> equation 1
sum of complementary and suppliemary angle is 180 degrees
x+y=180
substituting equation 1 in the above,
x + 3x + 20 = 180
4x = 160
=>x = 40 degress
y = 3x + 20 = 120 + 20 = 140 degress
Copmplemenary angle = 40 degress
Supplementary angle = 140 degrees
RELATED QUESTIONS
angle B is 20 degrees more than 3 times the measure of angle A. Both angles are... (answered by josgarithmetic)

The supplementary angle is 30 more than 4 times of a complementary angle. What is the... (answered by TutorDelphia)

The supplementary angle is 40 more than 4 times of a complementary angle. What is the... (answered by mananth)

an angle measures 20 degrees more than the measure of a supplementary angle.what is the... (answered by rfer)

If the degree measure of an angle is 40� less than 3 times the degree measure of its... (answered by stanbon)

the measure of a given angle is 30 degree more then 4 times its supplementary angle. find (answered by Alan3354)

An angle measures 8� more than the measure of a supplementary angle. What is the measure... (answered by rfer)

An angle measures 152� more than the measure of a supplementary angle. What is the... (answered by rfer)

An angle measures 146.4� more than the measure of a supplementary angle. What is the... (answered by Stitch)