Question

solve for the value of b.

Explanation:

Step1: Identify angle relationship

The two angles and the right angle sum to \(90^\circ\) (since they form a right angle together). So, \((7b - 8) + (6b + 7) = 90\).

Step2: Combine like terms

\(7b - 8 + 6b + 7 = 90\) simplifies to \(13b - 1 = 90\).

Step3: Solve for \(b\)

Add 1 to both sides: \(13b = 91\). Divide by 13: \(b = \frac{91}{13} = 7\).

Answer:

\(b = 7\)