Question

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

Explanation:

Step1: Calculate angle for ZQX

A straight line is $180^\circ$. For line RX, $m\angle RQZ + 67^\circ = 180^\circ$, so $m\angle RQZ = 180^\circ - 67^\circ = 113^\circ$.

Step2: Find vertical angle of RQZ

Vertical angles are equal. $\angle TQW$ is vertical to $\angle RQZ$, so $m\angle TQW = 113^\circ$.

Answer:

113