In $\Delta XYZ$,$\angle X : \angle Y : \angle Z = 1 : 4 : 4$,then $\angle Z = \ldots$ (in $^{\circ}$)

The difference between the supplementary angle and the complementary angle of any acute angle is............. (in $^{\circ}$)

In the given figure,find the value of $x$ for which the lines $l$ and $m$ are parallel.

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

In the following figure,ray $YW$ stands on a line $XYZ$. $\angle WYZ : \angle WYX = 1 : 2$. Ray $YQ$ and ray $YP$ are angle bisectors of $\angle WYZ$ and $\angle WYX$ respectively. Find $\angle PYQ$. (in $^{\circ}$)

Angles of a triangle are in the ratio $2: 4: 3$. The smallest angle of the triangle is (in $^{\circ}$)