Question

find ( mangle tqw ).
( mangle tqw=square )
an error has occurred. please enter a number.

Explanation:

Step1: Use the property of a straight - line angle

A straight - line angle is \(180^{\circ}\). The sum of angles around a point on a straight line is \(180^{\circ}\). We know two angles (\(67^{\circ}\) and \(67^{\circ}\)) and we want to find \(m\angle TQW\).
Let \(m\angle TQW=x\). Then \(x + 67^{\circ}+67^{\circ}=180^{\circ}\) (since \(RYX\) is a straight line and the angles at point \(Q\) on line \(RX\) sum up to \(180^{\circ}\)).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(46\)