An angle is $40^{\circ}$ less than its supplementary angle,then its measure is $\ldots \ldots \ldots .$ (in $^{\circ}$)

Bisectors of angles $B$ and $C$ of a triangle $ABC$ intersect each other at the point $O$. Prove that $\angle BOC = 90^{\circ} + \frac{1}{2} \angle A$.

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

$A$ triangle $ABC$ is right-angled at $A$. $L$ is a point on $BC$ such that $AL \perp BC$. Prove that $\angle BAL = \angle ACB$.

The supplementary angle of the complementary angle of an angle having measure $32^{\circ}$ has measure.......... (in $^{\circ}$)

In the figure,$OD$ is the bisector of $\angle AOC$,$OE$ is the bisector of $\angle BOC$,and $OD \perp OE$. Show that the points $A, O$,and $B$ are collinear.