Question

question solve for the value of b. answer attempt 1 out of 100 (7b - 8)° (6b + 7)°

Explanation:

Step1: Set up equation

Since the two angles are complementary (sum to 90°), we have the equation $(7b - 8)+(6b + 7)=90$.

Step2: Combine like - terms

Combine the $b$ terms and the constant terms: $7b+6b-8 + 7=90$, which simplifies to $13b-1 = 90$.

Step3: Isolate the variable term

Add 1 to both sides of the equation: $13b-1 + 1=90 + 1$, resulting in $13b=91$.

Step4: Solve for b

Divide both sides by 13: $\frac{13b}{13}=\frac{91}{13}$, so $b = 7$.

Answer:

$b = 7$