1. The problem states that the triangle has angles 35\degree, 120\degree, and x\degree, and we need to find the value of x. 2. The sum of the interior angles of any triangle is always 180\degree. This is the key formula we use: $$35 + 120 + x = 180$$ 3. To find x, we solve the equation by subtracting the sum of the known angles from 180: $$x = 180 - (120 + 35)$$ 4. Simplify inside the parentheses: $$x = 180 - 155$$ 5. Calculate the difference: $$x = 25$$ 6. Therefore, the value of x is 25\degree. This means the missing angle in the triangle is 25 degrees, completing the triangle's angle sum to 180 degrees.