Question 1152557

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of a first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the measures of the first, second and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer. 
<pre>We already KNOW this, at least most of us! ====> <b><u>The sum of the measures of the angles of a triangle is 180.</b></u> 
We don't need to know this, but you should! ===> <b><u>Do not include the degree symbol in your answer.</b></u>
From the description, x + y + z = 180 ------ eq (i)
                      y + z = 3x ----------- eq (ii)
                      z = y + 15 ----------- eq (iii)
x + 3x = 180 ------ Substituting 3x for y + z in eq (i)
Now you should be able to find the value of x, or the 1st angle
Knowing the value of x, you can substitute that value into eq (ii) to get a value for y + z. This "y + z" value 
can then be substituted into eq (i) to get the value of z.
Then, all you'd need to find is the value of y.