SOLUTION: the measure of an angle is 30 more times than 5 times its supplement. find the measure of each angle.

Question 348163: the measure of an angle is 30 more times than 5 times its supplement. find the measure of each angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the measure of an angle is 30 more times than 5 times its supplement.
find the measure of each angle.
:
Let x = the angle
then
(180-x) = it's supplement
:
Write an equation for the statement:
"the measure of an angle is 30 more times than 5 times its supplement"
x = 5(180-x) + 30
x = 900 - 5x + 30
x + 5x = 900 + 30
6x = 930
x =
x = 155 degrees is the angle
:
:
See that's true
155 = 5(180-155) + 30
155 = 5(25) + 30; confirms our solution of x = 155
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