State whether the following statement is true or false:
$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.

In the given figure,if $AB \parallel CD$,$\angle AXY = 80^{\circ}$ and $\angle XZD = 140^{\circ}$,then find $x$ and $y$.

The complementary angle of the supplementary angle of an angle having measure $132^{\circ}$ has measure $\ldots \ldots \ldots .$. (in $^{\circ}$)

In the following figure,in $\Delta ABC$,$\angle ABC = 70^{\circ}$ and $\angle ACB = 60^{\circ}$. Find $\angle ABD$ and $\angle ACE$.

State whether each of the following statements is true or false:
$(1)$ If a transversal intersects two parallel lines,then the interior angles on the same side of the transversal are equal.
$(2)$ The maximum number of acute angles in any triangle is two.

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