SOLUTION: Okay it says The variable expressions represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by it's angles. 1. m angle A= (x+30)

Algebra ->  Triangles -> SOLUTION: Okay it says The variable expressions represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by it's angles. 1. m angle A= (x+30)      Log On


   

Question 365350: Okay it says The variable expressions represent the angle measures of a triangle. Find the measure of each angle. Then classify the triangle by it's angles.
1. m angle A= (x+30) degrees
m angle B= x degrees
m angle C= (x+60) degrees
What does this mean?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the three angles must be equal to 180 degrees. So %28x%2B30%29%2Bx%2B%28x%2B60%29=180


%28x%2B30%29%2Bx%2B%28x%2B60%29=180 Start with the given equation.


3x%2B90=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=%2890%29%2F%283%29 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%2B30=30%2B30=60 degrees

Angle B: x=30 degrees

Angle C: x%2B60=30%2B60=90 degrees


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