Certainly! To solve for x, we are assuming that these angles are from a triangle, as the typical context for such a problem. In a triangle, the sum of the internal angles always equals 180 degrees.
Given the angles (3x+23)°, 55°, and 75°, we can set up the equation:
(3x + 23)° + 55° + 75° = 180°
Let's solve this step by step:
1. Combine the constant terms (the numerical angles):
55° + 75° = 130°
2. So the equation is now:
(3x + 23)° + 130° = 180°
3. Subtract 130° from both sides of the equation to isolate the term with x:
(3x + 23)° = 180° - 130°
(3x + 23)° = 50°
4. Now, subtract 23° from both sides to further isolate x:
3x = 50° - 23°
3x = 27°
5. Finally, divide both sides of the equation by 3 to solve for x:
x = 27° ÷ 3
x = 9
So the value of x is 9 degrees.
