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

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Question 118544: A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of the angles of any triangle is 180 if the measures are expressed in degrees, in other words: R%2BS%2BT=180

Angle T=S%2B40
Angle R=8S

So: 8S+%2B+S%2B%28S+%2B+40%29+=+180

Collect terms and solve:

10S+%2B+40=180
10S=140
S=14

T=14%2B40=54

R=8%2A14=112

Check: Does 14%2B54%2B112=180?

Hope that helps,
John