Question 844980
The easiest way to tackle this problem is to know that in Geometry, there is a rule that states that the sum of all the angles in a triangle will always add up to 180 degrees. 

Let x = the smallest angle.
Let x + 30 = the angle that is 30 degrees more than the smallest angle.
Let x + 90 = the angle that is 90 degrees more than the smallest angle.

Therefore, given the rule above we can solve for x by writing,

x + (x+90) + (x+30) = 180

Combine like terms:

3x + 120 = 180

Subtract each side by 120.

3x = 60

Divide each side by 3.

x = 20

Therefore the smallest angle is 20 degrees, the second largest angle is 20 + 30 = 50 degrees, and the largest angle equals 20 + 90 = 110 degrees. To check if this is correct, add all the angles to see if it equals 180 degrees:

20 + 50 + 110 = 180 degrees. It checks out so the answer is correct.