SOLUTION: In a triangle, the measure of the second angle is twice the measure of the first angle. The measure of the third angle is 30 degreesmore than the measure of the second. Find the

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Question 168318: In a triangle, the measure of the second angle is twice the measure of the first angle. The measure of the third angle is 30 degreesmore than the measure of the second. Find the measure of each angle.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the angles a,b,and c
a+b+c=180 eq 1
b=2a.......eq 2
c=b+30.....eq 3
plug b's value from eq2 and c's value from eq 3 into 1st equation
a+(2a)+((2a)+30=180
5a+30=180
5a=150
highlight%28a=30%29
highlight%28b=2%2830%29=60%29
highlight%28c=60%2B30=90%29