Question

what is ( mangle uwv? )( mangle uwv=square^{circ} )

Explanation:

Step1: Recall the total degrees in a circle

A full - circle has \(360^{\circ}\). Let \(m\angle UWV=x\).
We know that \(85^{\circ}+145^{\circ}+x = 360^{\circ}\) (sum of central angles in a circle).

Step2: Solve for \(x\)

First, add \(85^{\circ}\) and \(145^{\circ}\): \(85 + 145=230\).
Then, use the equation \(x=360-(85 + 145)\).
Substitute the sum: \(x = 360-230\).

Answer:

\(130\)