Question

solve for m∠tuv. answer m∠tuv =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. Let \(m\angle TUV=x\). We know that \(132^{\circ}+30^{\circ}+x = 180^{\circ}\) (since \(\angle TUV\) and the two given angles form a straight - line, and the angle of a straight - line is 180°).

Step2: Solve for \(x\)

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

Answer:

\(18\)