Question

what is the value of w? image of a right angle with one angle labeled 54.5° and the other angle labeled w input box° submit

Explanation:

Step1: Identify the angle relationship

The right angle is \(90^\circ\), and the two angles \(54.5^\circ\) and \(w\) add up to \(90^\circ\) (complementary angles).

Step2: Solve for \(w\)

We use the equation \(w + 54.5^\circ=90^\circ\). To find \(w\), we subtract \(54.5^\circ\) from \(90^\circ\):
\(w = 90^\circ - 54.5^\circ\)
\(w = 35.5^\circ\)

Answer:

\(35.5\)