SOLUTION: the second angle of a triangle is 5 times the measure of the first and the third angle is 4 less than twice the first. what is the measure of the second angle?

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Question 341838: the second angle of a triangle is 5 times the measure of the first and the third angle is 4 less than twice the first. what is the measure of the second angle?
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have x represent the first angle. We know every triangle has 180 degrees so we can set up the following equation:
x + (5x) + (2x-4) = 180
Combine like terms to get:
8x-4=180
Add 4 to both sides and divide by 8 to get:
x=23 degrees
The second angle is 115 degrees.
Make sense?
RJ
www.math-unlock.com