Question

solve for the value of b. answer attempt 1 out of 2 b =

Explanation:

Step1: Note angle - sum property

The two angles $(7b - 8)^{\circ}$ and $(6b+7)^{\circ}$ are complementary, so their sum is $90^{\circ}$. We set up the equation $(7b - 8)+(6b + 7)=90$.

Step2: Combine like - terms

Combine the $b$ terms and the constant terms on the left - hand side: $(7b+6b)+(-8 + 7)=90$, 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:

$7$