Question

find m∠tqw. m∠tqw = ? °

Explanation:

Step1: Observe angle relationships

The angles around point Q sum to 360°. The two given angles are 67° each. Also, \(\angle TQW\) and the two 67 - degree angles are part of the full - circle of angles around Q.

Step2: Set up angle - sum equation

Let \(m\angle TQW=x\). Then \(x + 67^{\circ}+67^{\circ}=180^{\circ}\) (since the three angles form a straight - line or a 180 - degree angle).

Step3: Solve for \(x\)

\(x=180^{\circ}-(67^{\circ}+67^{\circ})\)
\(x = 180^{\circ}-134^{\circ}\)
\(x = 46^{\circ}\)

Answer:

\(46\)