SOLUTION: Cant figure this out. Help Please! :) The measure of the second angle of a triangle is 50 degrees more than that of the first. The measure of the third angle is 10 degrees le

Question 185531: Cant figure this out. Help Please! :)
The measure of the second angle of a triangle is 50 degrees more than that of the first. The measure of the third angle is 10 degrees less than twice the first. Find the measures of the angles.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let "x" be the measure of the first angle

Since "The measure of the second angle of a triangle is 50 degrees more than that of the first.", this means that the second angle is (ie add 50 to the measure of the first angle). Also, because the "measure of the third angle is 10 degrees less than twice the first.", this tells us that

Now remember, for EVERY triangle, the sum of their angles is 180 degrees. So this means that

Angle 1 + Angle 2 + Angle 3 = 180

which becomes

-------------------------------------

Start with the given equation.

Combine like terms.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is

So the first angle is

the second angle is

and the third angle is

In other words, the measures of the three angles are: 35, 85, and 60 degrees
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