SOLUTION: I just need the correct format on how to solve this problem.. I tend to guess and and chicken scratch. Just looking for the proper formula. Thanks The second angle of a trian

Algebra ->  Angles -> SOLUTION: I just need the correct format on how to solve this problem.. I tend to guess and and chicken scratch. Just looking for the proper formula. Thanks The second angle of a trian      Log On


   

Question 226604: I just need the correct format on how to solve this problem.. I tend to guess and and chicken scratch. Just looking for the proper formula. Thanks
The second angle of a triangle is 4 times as large as the first. The third angle is 80 degrees more than the sum of the other two angles. Find the measure of the second angle.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x = "first angle"

"The second angle of a triangle is 4 times as large as the first" ___ 4 * x = 4x

"The third angle is 80 degrees more than the sum of the other two angles" ___ x + 4x + 80 = 5x + 80

x + 4x + 5x + 80 = 180

10x + 80 = 180 ___ 10x = 100 ___ x = 10

second angle is 4 * 10 or 40