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(12126) About Me  (Show Source):
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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