Consider the figure given below:
 
15.svg
 
If \(\angle a =\) 43\(^\circ\), and \(\angle b =\) 122\(^\circ\), find the angles \(\angle APM\), \(\angle PMQ\), and \(\angle MQD\).
 
\(\angle APM =\) \(^\circ\)
 
\(\angle PMQ =\) \(^\circ\)
 
\(\angle MQD =\) \(^\circ\)