SOLUTION: One angle of a triangle is 15 degrees more than the measure of the second angle. The third angle is 15 degrees less than the measure of the second angle. Find the measure of each

Algebra ->  Triangles -> SOLUTION: One angle of a triangle is 15 degrees more than the measure of the second angle. The third angle is 15 degrees less than the measure of the second angle. Find the measure of each      Log On


   

Question 723098: One angle of a triangle is 15 degrees more than the measure of the second angle. The third angle is 15 degrees less than the measure of the second angle. Find the measure of each angle.
I am having a really hard time with geometry...I was bad at it 20 + years ago and it hasn't gotten any better since then. If anyone can show me how to figure this out I would really appreciate it! :)
Becky
Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

One angle of a triangle is 15 degrees more than the measure of the second angle. The third angle is 15 degrees less than the measure of the second angle. Find the measure of each angle.
I am having a really hard time with geometry...I was bad at it 20 + years ago and it hasn't gotten any better since then. If anyone can show me how to figure this out I would really appreciate it! :)
Becky

Let second angle's measure be S
Then first angle's measure = S + 15
Third angle's measure = S - 15

As the angles of a triangle sum to 180%5Eo, we can say that: S + S + 15 + S - 15 = 180
3S = 180

S, or second angle's measure = 180%2F3, or highlight_green%2860%5Eo%29

First angle's measure = 60 + 15, or highlight_green%2875%5Eo%29

Third angle's measure = 60 - 15, or highlight_green%2845%5Eo%29

You can do the check!!

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