SOLUTION: A triangle has three angles, R, S, and T. Angle T is 40 Deg. greater than angle S. Angle R is 8 times andle S. What is the measure of each angle?

Algebra ->  Human-and-algebraic-language -> SOLUTION: A triangle has three angles, R, S, and T. Angle T is 40 Deg. greater than angle S. Angle R is 8 times andle S. What is the measure of each angle?      Log On


   

Question 22360: A triangle has three angles, R, S, and T. Angle T is 40 Deg. greater than angle S. Angle R is 8 times andle S. What is the measure of each angle?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
easy enough to approach.

First... all 3 angles will add up to 180 degrees.

Second, let us define one angle to be, say, x. Let us pick angle S.

So, angle S is x degrees. So what about R and T?

Well, R is 8 times angle S --> R is 8x
And, T is 40 degrees larger that S --> T is x+40

So we have 8x + x + x+40 = 180

which simplifies to 10x + 40 = 180
--> 10x = 140
--> x = 14

So S = 14 degrees

Therefore, R = 112 degrees
and T = 54 degrees

jon.