Question 365350
The sum of the three angles must be equal to 180 degrees. So {{{(x+30)+x+(x+60)=180}}}



{{{(x+30)+x+(x+60)=180}}} Start with the given equation.



{{{3x+90=180}}} Combine like terms on the left side.



{{{3x=180-90}}} Subtract {{{90}}} from both sides.



{{{3x=90}}} Combine like terms on the right side.



{{{x=(90)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=30}}} Reduce.



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Answer:


So the solution is {{{x=30}}} 


So the three angles are:


Angle A: {{{x+30=30+30=60}}} degrees


Angle B: {{{x=30}}} degrees


Angle C: {{{x+60=30+60=90}}} degrees



Since one angle is a 90 degree angle, this means that we have a right triangle.