SOLUTION: In a triangle with angles measuring a, b, and c degrees, the mean of b and c is a. What is the value of a?

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Question 663345: In a triangle with angles measuring a, b, and c degrees, the mean of b and c is a. What is the value of a?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing that a+b+c=180
and (b+c)/2=a
Then,
(180-a)/2 = a
Multiply both sides by 2
180 - a = 2a
Group and combine like terms.
180 = 3a
Divide both sides by 3
a = 60 degrees
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