Question

solve for the value of b.

Explanation:

Step1: Identify angle - relationship

The two angles $59^{\circ}$ and $(8b + 7)^{\circ}$ are complementary (since they form a right - angle, which is $90^{\circ}$). So, $59+(8b + 7)=90$.

Step2: Simplify the left - hand side

Combine like terms: $59+7+8b=90$, which gives $66 + 8b=90$.

Step3: Isolate the variable term

Subtract 66 from both sides: $8b=90 - 66$. So, $8b=24$.

Step4: Solve for b

Divide both sides by 8: $b=\frac{24}{8}$.

Answer:

$b = 3$