Question

solve for the value of b.
answer attempt 1 out of 100
b =

Explanation:

Step1: Set up equation based on angle - sum

The two angles $(6b + 7)^{\circ}$ and $(7b-8)^{\circ}$ are complementary (since they form a right - angle, which is $90^{\circ}$). So, $(6b + 7)+(7b-8)=90$.

Step2: Combine like terms

Combining the $b$ terms and the constant terms on the left - hand side gives $6b+7b + 7-8=90$, 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 of the equation by 13: $\frac{13b}{13}=\frac{91}{13}$, so $b = 7$.

Answer:

$b = 7$