Question

what is the value of b?

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. The angle adjacent to \(57^{\circ}\) and the right - angle (\(90^{\circ}\)) forms a straight line. But we can also use the fact that the sum of angles around a point is \(360^{\circ}\), but a more straightforward way is to note that \(b\) and the angle which is \(90^{\circ}- 57^{\circ}\) are not the right approach. Wait, actually, using the property of vertical angles. The angle \(b\) and the angle which is \(90^{\circ}-57^{\circ}\) is wrong. Wait, no. Let's use the fact that the sum of angles on a straight line is \(180^{\circ}\). But another approach: since the two angles \(57^{\circ}\) and \(b\) are such that they are vertical - like in the sense of the intersection of lines. Wait, no. Wait, actually, we know that \(b + 57^{\circ}+90^{\circ}=180^{\circ}\) (because they form a straight line).

Step2: Solve for \(b\)

$$
LATEXBLOCK0
$$

Answer:

\(33\)