Question

solve for the value of $b$.

Explanation:

Step1: Use the property of a straight angle

Since a straight angle is \(180^{\circ}\), we have \((9b + 1)+90+53=180\).

Step2: Simplify the left - hand side of the equation

First, add the constants: \(9b+1 + 143=180\), which simplifies to \(9b+144 = 180\).

Step3: Isolate the term with \(b\)

Subtract \(144\) from both sides: \(9b=180 - 144\). So, \(9b = 36\).

Step4: Solve for \(b\)

Divide both sides by \(9\): \(b=\frac{36}{9}\).

Answer:

\(b = 4\)