Which pairs of following angles become complementary or supplementary angles?

As shown in figure if $\mathrm{\angle }POR:\mathrm{\angle }ROQ=5:7$ then $\angle SOQ=\_\_\_$.

Consider the following statements when two straight lines intersect :
i) Adjacent angles are complementary.
ii) Adjacent angles are supplementary.
iii) Vertically opposite angles are equal.
iv) Vertically opposite angles are supplementary.

If $ABC$ is a straight line then value of $x$, in the given diagram will be 

Find the angle which is four times its complement.

A point $C$ is said to lie between the points $A$ and $B$ if

Find the measure of an angle which $30°$ less than its supplement.

Find the angle which is five times its supplement.

In the given figure, $\mathrm{\Delta ODC}~\mathrm{\Delta OBA}, \angle \mathrm{BOC}=115°$ and $\angle \mathrm{CDO}=70°$.
Find $\angle DOC$.

Two complementary angles are in the ratio $4:5$Find the angles.

Two angles with a common vertex and a common arm are called vertically opposite angles.

Ray $PQ$ and ray $PR$ are perpendicular to each other. Points $B$ and $A$ are in the interior and exterior of $\angle QPR$ respectively. Ray $PB$ and ray $PA$ are perpendicular to each other.

Draw a figure showing all these rays and write a pair of complementary angles.

How many lines can be drawn to pass through a given point?

Find the complement of the following angle:

$55°$