Since the two angles are equal they represent x. Then the largest angle is 33 degrees more so that is represented as x+33. Then you get your equation: 3x+33=180(because each triangle has 180 degrees). Subtract 33 from both sides to get x by itself and you get 3x=147. Then to simplify divide 3 from both sides and you get 49 degrees for x. Since it says in the beginning that the largest angle is the value of x+33 we know that the largest angle is 82 degrees.
Add the two angles you already know (for example, 50 and 45), then, with the sum of the two angles (95), subtract it from 180 (180-95) and there's your answer. How do I find the third angle of a triangle if the two known angles are 35 and 40?
The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. The sum of the three angles of a triangle is 180°. ... The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
