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QUESTION IMAGE

find ( mangle tqw ). ( mangle tqw=)

Question

find ( mangle tqw ).
( mangle tqw=)

Explanation:

Step1: Recall 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 full - circle around point \(Q\). But if we consider the straight - line formed by the intersection of the lines, we know that the sum of adjacent angles on a straight line is \(180^{\circ}\).

Step2: Calculate \(m\angle TQW\)

We know that \(m\angle TQW+67^{\circ}+67^{\circ}=180^{\circ}\).

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Answer:

\(46\)