Question

what is the value of b?
b = □°

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. So, $(b - 25)+(b - 11)+52=180$.

Step2: Simplify the left - hand side

Combine like terms: $b + b-25 - 11+52=2b+( - 25-11 + 52)=2b + 16$. So, $2b+16 = 180$.

Step3: Solve for $b$

Subtract 16 from both sides: $2b=180 - 16=164$. Then divide both sides by 2: $b=\frac{164}{2}=88$.

Answer:

$88$