SOLUTION: four times the measure of an angle is 7 more than three times the measure of its supplement. what is the measure of the angle?

Question 353121: four times the measure of an angle is 7 more than three times the measure of its supplement. what is the measure of the angle?
Found 2 solutions by nerdybill, JBarnum:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
four times the measure of an angle is 7 more than three times the measure of its supplement. what is the measure of the angle?
.
Two angles are supplement if the sum is 180 degrees.
.
Let x = the angle
then
180-x = supplement of angle
.
4x = 3(180-x)+7
4x = 540-3x+7
7x = 540+7
7x = 547
x = 78.14 degrees
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
SUPPLEMENT MEANS 2 ANGLES THAT ADD TO 180, Find x.
4x=7+3y
x+y=180
y==180-x
4x=7+3(180-x)
4x=7+540-3x
7x=547

RELATED QUESTIONS
The measure of an angle�s supplement is 30 degrees more than three times the measure of... (answered by nerdybill,math-vortex)
What is the measure of an acute angle if twice the measure of its supplement is 110 more... (answered by ewatrrr)
The supplement of an angle is 40 more than three times its complement. What is the... (answered by mananth)
the measure of an angle supplement is 50 more than three times that of its complement... (answered by arKed)
Find the measure of an angle that is twice as large as its complement. A supplement... (answered by BurningFlame_marc)
find the measure of an angle if 4 times its measure is 7^(0) more than 3 times the... (answered by Big Poop)
what is the measure of an angle that is 100 less than three times its... (answered by checkley77)
the measure of an angle is 30 more times than 5 times its supplement. find the measure of (answered by ankor@dixie-net.com)
find the measure of angle T if the measure of angle T is 20 more than four times its... (answered by rfer,jim_thompson5910,checkley77)