Question 1059110
First, determine the value of x, so that you can calculate the measure of each angle.


The sum of the three angles must be equal to 180 degrees, so you can write:


5x + (3x - 12) + (2x + 2) = 180


5x + 3x + 2x - 12 + 2 = 180


10x - 10 = 180


10x = 190


x = 19


The three angles are then:


5x = 5(19) = 95 degrees


3x - 12 = 3(19) - 12 = 45 degrees


2x + 2 = 2(19) + 2 = 40 degrees


Since one of the angles is greater than 90 degrees, this is an obtuse triangle.