SOLUTION: In a certain triangle, the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of thre

Question 433564: In a certain triangle, the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?
mine is
180 = x^2-z+y
as you can see, I am lost.
Patty
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In a certain triangle, the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle
:
Not sure what you are doing here, but this is one method
:
Let x = the "the measure of the second angle"
:
"the measure of one angle is double the measure of the second angle", therefore:
2x = "one angle"
:
"is 10 degrees less than the measure of the third angle", therefore
2x + 10 = the third angle
:
x + 2x + (2x+10) = 180
5x = 180 - 10
x =
x = 34 degrees is the 2nd angle
then
2(34) = 68 degrees is "one angle
and
68 + 10 = 78 degrees is the 3rd angle
;
:
See if that adds up
34 + 68 + 78 = 180
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