SOLUTION: In a triangle, the second angle measures twice the first, and the third andle measures 5 more than the second. if the sum of the angles measures is 180, what is the measure of each

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Question 364332: In a triangle, the second angle measures twice the first, and the third andle measures 5 more than the second. if the sum of the angles measures is 180, what is the measure of each angle
Answer by Fombitz(32388) About Me  (Show Source):
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Let the angles be A, B, and C.
A%2BB%2BC=180
.
.
B=2A
C=5%2BB=5%2B2A
Substitute,
A%2B2A%2B5%2B2A=180
5A%2B5=180
5A=175
highlight%28+A=35%29degrees
Then,
B=2%2835%29
highlight%28B=70%29degrees
And,
C=5%2B70
highlight%28C=75%29degrees