Question

2b
3b
what is the value of b?
b = \boxed{\circ}

Explanation:

Step1: Identify the shape

The figure is a parallelogram, so consecutive angles are supplementary (sum to \(180^\circ\)).

Step2: Set up the equation

We have angles \(2b\) and \(3b\) which are consecutive angles in a parallelogram, so \(2b + 3b=180\).

Step3: Solve for \(b\)

Combine like terms: \(5b = 180\). Then divide both sides by 5: \(b=\frac{180}{5}=36\).

Answer:

\(36\)