Question

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

Explanation:

Step1: Set up equation

Since the sum of the two angles is 90 degrees (right - angle), we have the equation $(7b - 8)+(6b + 7)=90$.

Step2: Combine like - terms

Combine the terms with $b$ 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 of the equation by 13: $\frac{13b}{13}=\frac{91}{13}$, so $b = 7$.

Answer:

$b = 7$