Question

find m∠tqw. m∠tqw = ＿. an error has occurred. please enter a number.

Explanation:

Step1: Observe angle relationships

The angles around a point sum to 360°. The given angles are two 67° angles. The non - overlapping angles at the center form a full - circle.

Step2: Calculate the unknown angle

Let \(m\angle TQW=x\). We know that \(x + 67^{\circ}+67^{\circ}=180^{\circ}\) (since the angles on one side of a straight - line through the center point sum to 180°). So \(x=180^{\circ}-(67^{\circ}+67^{\circ})\).
\[x = 180^{\circ}-134^{\circ}=46^{\circ}\]

Answer:

46