Question

what is the value of b?

Explanation:

Step1: Use the angle - sum property of angles around a point

The sum of angles around a point is \(360^{\circ}\). But if we consider the straight - line adjacent angles (a full - circle is \(360^{\circ}\), and the non - overlapping angles given form a set where we can also use the property that the sum of angles on a straight line is \(180^{\circ}\) in a more straightforward way. However, another approach is to use the fact that \(b + 96^{\circ}+61^{\circ}=180^{\circ}\) (because the three angles \(b\), \(96^{\circ}\), and \(61^{\circ}\) form a linear pair with the opposite angle which is not needed for calculation as we can directly sum them to \(180^{\circ}\) (since they are adjacent angles on a straight line)).

Step2: Solve for \(b\)

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Answer:

\(23\)