Question

what is the value of b?

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(b - 4)+b+(b + 38)=180$.

Step2: Combine like - terms

$b-4 + b + b+38=180$ simplifies to $3b + 34=180$.

Step3: Isolate the variable term

Subtract 34 from both sides: $3b=180 - 34$, so $3b=146$.

Step4: Solve for b

Divide both sides by 3: $b=\frac{146}{3}\approx48.67$.

Answer:

$b=\frac{146}{3}$