SOLUTION: Find measures of angle of a triangle if the first angle is three times the measure of the second angle and the third angle is twenty degrees more than the second angle

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Question 343987: Find measures of angle of a triangle if the first angle is three times the measure of the second angle and the third angle is twenty degrees more than the second angle
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
NEED TO KNOW:
THE SUM OF THE ANGLES FOR A TRIANGLE IS 180.
A%5B1%5D%2BA%5B2%5D%2BA%5B3%5D=180
QUESTION STATES THE FOLLOWING TO BE TRUE:
A%5B1%5D=3%2AA%5B2%5D AND A%5B3%5D=A%5B2%5D%2B2O
SUBSTITUTE:

SUBTRACT 20 FROM BOTH SIDES OF THE EQUATION
5%2AA%5B2%5D=160
DIVIDE BOTH SIDES OF THE EQUATION BY 5
A%5B2%5D=32
A%5B1%5D=96 AND A%5B3%5D=52 ACCORDINGLY
CHECK YOUR ANSWER
96 + 32 + 52 = 180