Check Point

In the figure, $\mathrm{POS}$ is a straight line. Find $x$ (in degrees).

In the figure, $\mathrm{AB}$ is a mirror. $\mathrm{PQ}$ is the incident ray and $\mathrm{QR}$ is the reflected ray. If $\angle \mathrm{PQR}=100°$, find $\angle \mathrm{PQA}$ (in degrees).

In figure, $\mathrm{BAC}$ is a straight line. Given that $x\mathbf{:}y\mathbf{:}z=5\mathbf{:}6\mathbf{:}9$, find $x, y$ and $z$.

In figure, $\angle \mathrm{POR}=3x$ and $\angle \mathrm{QOR}=2x+10$. Find the value of $x$ (in degrees) for which $\mathrm{POQ}$ will be a straight line.

In the figure, lines $\mathrm{AB}$ and $\mathrm{CD}$ intersect at $\mathrm{O}$. If $\angle \mathrm{BOC}=65°$, find $x, y$ and $z$.

In the figure, $\angle \mathrm{POS}+\angle \mathrm{SOQ}+\angle \mathrm{QOR}=325°$. Find all the four angles.

In the figure, line $l_1$ and $l_2$ intersecting at $\mathrm{O}$ and forming angles as shown in the figure. If $a=35°$, find the values of $b, c$ and $d$.

In the figure, lines $\mathrm{AB}, \mathrm{CD}$ and $\mathrm{EF}$ intersect at $\mathrm{O}$. Find the measures of $\angle \mathrm{AOC}, \angle \mathrm{COF}, \angle \mathrm{DOE}$ and $\angle \mathrm{BOF}$.