If $x=\frac{2}{3}$ of a right angle and $y=125°$ are adjacent angles. Are their non-common arms in a straight line or not? Justify your answer.

In the given figure, $OD\perp OC.$ Find $\angle AOD+\angle COB$

In each of the given figure, $AOB$ is a straight line. Determine $x$.

In each of the given figure, $AOB$ is a straight line. Determine $x$.

In each of the given figure, $AOB$ is a straight line. Determine $x$.

In each of the given figure, $AOB$ is a straight line. Determine $x$.

In the below given figure, find the value of $x$.

In the below given figure, lines $AB$ and $CD$ intersect at $M$ and $PM\perp AB$. If $\angle DMB=20°$, find the angles $a, b, c$ and $d$.

In the below given figure $AB$ and $CD$ are two straight lines intersecting each other at $O$.If $\angle COE=90°$, find the values of $x, y$ and $z$.