Question

solve for the value of b.

Explanation:

Step1: Identify angle sum on a straight line

The sum of angles on a straight line is \(180^\circ\). We have a right angle (\(90^\circ\)), \(53^\circ\), and \((9b + 1)^\circ\). So, \(9b + 1 + 90 + 53 = 180\).

Step2: Simplify the equation

Combine like terms: \(9b + 144 = 180\).

Step3: Solve for \(b\)

Subtract 144 from both sides: \(9b = 180 - 144 = 36\). Then divide by 9: \(b = \frac{36}{9} = 4\).

Answer:

\(b = 4\)