Question

find ( mangle tqw ).
( mangle tqw=square^{circ} )

Explanation:

Step1: Use the property of a straight - line angle

A straight - line angle measures \(180^{\circ}\). The sum of the angles around a point on a straight line is \(180^{\circ}\).

Step2: Calculate \(m\angle TQW\)

We know that \(m\angle ZQY + m\angle ZQR+m\angle TQW= 180^{\circ}\) (since \(RQ X\) is a straight line). Given \(m\angle ZQY = 67^{\circ}\) and \(m\angle ZQR = 67^{\circ}\).

$$m\angle TQW=180^{\circ}-67^{\circ}-67^{\circ}$$

$$m\angle TQW = 46^{\circ}$$

Answer:

\(46\)