Final answer:
The measures of the angles of the triangle are 60 degrees, 90 degrees, and 30 degrees. It is a scalene triangle.
Step-by-step explanation:
A triangle has three angles that add up to 180 degrees. In this case, the angles of the triangle are x, x + 30, and x - 30. We can set up an equation to solve for x:
x + (x + 30) + (x - 30) = 180
Combining like terms:
3x = 180
Dividing both sides by 3:
x = 60
So the measures of the angles are:
- x = 60 degrees
- x + 30 = 90 degrees
- x - 30 = 30 degrees
Since all three angles are different, this is an example of a scalene triangle.