Are the ray $\mathrm{PM}$ and $\mathrm{PT}$ opposite rays? Give reasons for your answer.

Draw the pair of angles as described below. If that is not possible, say why.

Complementary angles that are not adjacent. 

Draw the pair of angles as described below. If that is not possible, say why. 

Draw the pair of angles as described below. If that is not possible, say why. 

Complementary angles that do not form a linear pair.

Draw the pair of angles as described below. If that is not possible, say why. 

Draw the pair of angles as described below. If that is not possible, say why. 

Draw the pair of angles as described below. If that is not possible, say why. 

Lines $AC$ and $BD$ intersect at point $P$ and $m\angle APD=47°$. Find the measures of $\angle APB$, $\angle BPC$ and $\angle CPD$.

Lines $PQ$ and $RS$ intersect at point $M$ and $m\angle PMR=\mathit{x}°$. Find the measures of $\angle PMS$, $\angle SMQ$ and $\angle QMR$.