Question

what is the value of w?

Explanation:

Step1: Recall the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\). Let the unknown angle be \(w\). The given angle is \(36.6^{\circ}\).
So, \(w + 36.6^{\circ}=180^{\circ}\)

Step2: Solve for \(w\)

Subtract \(36.6^{\circ}\) from both sides of the equation:
\(w=180^{\circ}- 36.6^{\circ}\)
\(w = 143.4^{\circ}\)

Answer:

\(143.4\)