Question

solve for m∠tuv. answer m∠tuv =

Explanation:

Step1: Recall angle - addition property

The sum of the angles around a point is 360°. Here, we know one angle is 132° and another is 30°. Let \(m\angle TUV=x\). Then \(132^{\circ}+30^{\circ}+x = 180^{\circ}\) (since the angles \(\angle TUW\), \(\angle WUV\) and \(\angle TUV\) form a straight - line and the measure of a straight - line angle is 180°).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=180^{\circ}-(132^{\circ} + 30^{\circ})\). First, calculate \(132^{\circ}+30^{\circ}=162^{\circ}\). Then \(x = 180^{\circ}-162^{\circ}=18^{\circ}\).

Answer:

\(18\)