SOLUTION: Find the measure of each angle in triangle ABC. A) (x-30) B(2x-120) C(1/2+15)

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Question 995454: Find the measure of each angle in triangle ABC.
A) (x-30) B(2x-120) C(1/2+15)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A=%28x-30%29
B=%282x-120%29
C=%281%2F2%2B15%29...I guess you have C=%28%281%2F2%29x%2B15%29
the sum of all interior angles in triangle is 180°
then you have
A%2BB%2BC=180°
%28x-30%29%2B%282x-120%29%2B%28%281%2F2%29x%2B15%29=180°......solve for x
x-30%2B2x-120%2B%281%2F2%29x%2B15=180°
x-30%2B2x-120%2B0.5x%2B15=180°
3.5x-135=180°
3.5x=180%2B135°
3.5x=315°
x=315%2F3.5°
x=90°
now find the measure of all three angles:
A=%28x-30%29 =>A=%2890-30%29=>A=60
B=%282x-120%29=> B=%282%2A90-120%29=> B=60
C=%28x%2F2%2B15%29=>C=%2890%2F2%2B15%29=>C=60