Question

find the measure of ∠qts.

Explanation:

Step1: Recall angle - sum property of a circle

The sum of angles around a point is 360°.

Step2: Set up the equation

Let \(\angle QTS=x\). Then \(x + 72^{\circ}+112^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

First, add 72° and 112°: \(72^{\circ}+112^{\circ}=184^{\circ}\). Then \(x=360^{\circ}- 184^{\circ}\). So \(x = 176^{\circ}\).

Answer:

\(176^{\circ}\)