Question

what is the value of z?

Explanation:

Step1: Use the property of angles around a point

The sum of angles around a point is \(360^{\circ}\). But here, we can also note that the right - angle (\(90^{\circ}\)) and the given \(54.7^{\circ}\) angle along with \(z\) and its opposite - angle (vertical - angle) and other angles. However, a simpler way is to use the fact that the sum of angles forming a straight - line related to the right - angle and the given angle.
We know that \(z + 90^{\circ}+54.7^{\circ}=180^{\circ}\) (because they are angles on a straight - line).

Step2: Solve for \(z\)

$$
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$$

Answer:

\(35.3\)