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

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

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

Answer

Explanation:

Step1: Use the property of a straight - line angle

A straight - line angle measures (180^{\circ}). The angles (67^{\circ}), (67^{\circ}), and (\angle TQW) form a straight - line (they are adjacent angles on a straight line). So, we can use the equation (m\angle TQW+67^{\circ}+67^{\circ}=180^{\circ}).

Step2: Solve for (m\angle TQW)

Subtract (67^{\circ}+67^{\circ}) from (180^{\circ}). [ \begin{align*} m\angle TQW&=180^{\circ}-(67^{\circ}+67^{\circ})\ &=180^{\circ}-134^{\circ}\ & = 46^{\circ} \end{align*} ]

Answer:

(46)