Short Answer 
The sum of the angles in a triangle is always 180 degrees. Given angles B (75 degrees) and C (50 degrees), Angle A (x) can be calculated using the equation x + 75 + 50 = 180, resulting in Angle A measuring 55 degrees.
Step 1: Understand the Triangle Sum Property
The sum of the angles in any triangle is always equal to 180 degrees. In Triangle ABC, you are given the measurements of two angles, B and C. Specifically, Angle B measures 75 degrees and Angle C measures 50 degrees. To find the measure of Angle A, represented as x, you will use this sum property.
Step 2: Set Up the Equation
To find the value of x, you need to set up an equation based on the triangle sum property. Combine the known angles with x as follows:
- Write the equation: x + 75 + 50 = 180
- Combine the angle measures you know: x + 125 = 180
This establishes a clear mathematical relationship to solve for x.
Step 3: Solve for x
Now, isolate x to find its value. Perform the following calculations:
- Subtract 125 from both sides of your equation: x = 180 – 125
- Perform the subtraction: x = 55
Therefore, the value of x, or Angle A, in Triangle ABC is 55 degrees.