Find the measure of the supplementary angle of an angle of $52^{\circ}$. (in $^{\circ}$)

If two lines intersect,prove that the vertically opposite angles are equal.

Find the measure of an angle,which is one-eighth of the measure of its supplementary angle. (in $^o$)

Find the measure of the supplementary angle of the complementary angle of an angle having measure $62^{\circ}$. (in $^{\circ}$)

$\angle PQR$ and $\angle PQS$ are a linear pair of angles. If $11 \angle PQR = 9 \angle PQS$,then find $\angle PQR$ and $\angle PQS$.

If one of the two angles of a linear pair has measure $x^{\circ},$ then the other angle has measure of $\ldots \ldots . .$