$\angle A = \angle B$. If $\angle A$ and $\angle B$ are supplementary angles,then $\angle A = \ldots$ (in $^o$)

$\angle APC$ and $\angle BPD$ are vertically opposite angles. If $\angle APC = 3x - 20^{\circ}$ and $\angle BPD = 2x + 30^{\circ}$,then find $x$ and the measure of both angles.

In the following figure,$\angle DBC = 70^{\circ}$ and ray $BP$ is the bisector of $\angle DBA$. Find $\angle PBC$ and reflex $\angle PBD$.

Ray $YM$ is the bisector of $\angle XYZ$ and ray $YN$ is the bisector of $\angle MYZ$. If $\angle XYN = 45^{\circ}$,then find $\angle XYZ$. (in $^{\circ}$)

$\angle A$ and $\angle B$ are complementary angles. If $\angle A : \angle B = 1 : 5$,then find $\angle A$ and $\angle B$.

If an angle is $20^{\circ}$ more than its complementary angle,then the measure of that angle is $\ldots \ldots \ldots$ (in $^{\circ}$)