Question

solve for the value of b.
answer attempt 1 out of 2
b =

Explanation:

Step1: Set up the equation

Since the two angles are adjacent and form a straight line (supplementary angles), their sum is \(180^{\circ}\). So, \((2b + 4)+(3b + 1)=180\).

Step2: Simplify the left - hand side

Combine like terms: \(2b+3b + 4 + 1=180\), which simplifies to \(5b+5 = 180\).

Step3: Isolate the term with \(b\)

Subtract \(5\) from both sides: \(5b+5 - 5=180 - 5\), resulting in \(5b=175\).

Step4: Solve for \(b\)

Divide both sides by \(5\): \(b=\frac{175}{5}\).

Answer:

\(b = 35\)