In the figure below, point $O$ is the junction through which five roads pass. $OC\perp AB$, The measures of $\angle AOD=54°, \angle BOE=32°$

The measure of $\angle DOE=$  $°$

Shown below is a triangular garden, $∆ABC$. A road passing through its vertex, $A$. The measure of $\angle BCA=42°$ and $\angle BAF=63°$

The mesure of $\angle BAC=$_____ $°$

Shown below is a clock face. $OH, OM$, and $OS$ are the hour hand, the minute hand and the second hand respectively. The hour and minute hand point exactly opposite directions. The ratio of measures of $\angle HOS:\angle MOS=4:5$

What is the measure of $\angle MOS$?

In the figure below the ray $AP$ intersects $ET$, and $BQ$ at $A$ and $B$ respectively. Similarly, $CR$ intersects $BQ,$ and $DS$ at $C$, $D$ respectively. $E$ is a point of intersection of the rays, $DS$, and $ET$.

The sum of angles marked in the figure, $\angle TAP+\angle PBQ+\angle QCR+\angle RDS+\angle SET=360°$

What is the sum of measure of angles, $\angle ABC+\angle BCD+\angle CDE+\angle DEA+\angle EAB$?

Two parallel roads $AC$ and $BD$ is connected by another road, $AB$. A car moving along the road in the direction indicated in the figure below. The car took turn at $A$ and then at $B$.  The car turned by angle $62°$ at $B$ to go along $BD$.

The angle turned by the car at $A$ to move along $AB$ is _____ $°$

Rohan is trying to find the angles marked in the right angled triangle below. 

The measure of the angle $\angle BAC$ is _____ $°$

In the figure below, $PQRS$ is a quadrilateral shaped land. $PQ\parallel TS$ and the measurement of some angles are given in the figure. 

What is the angle marked $y$ in degrees, in the figure above ? (Only numeral value is expected)

The figure below shows a structure made by a child in which $AE\parallel BD$. The child's elder brother, measured $\angle DBC,$ and $\angle BCA$ and found their measures are $28°$ and $80°$ respectively.

What is the measure of $\angle CAE$?

Gautham made this structure with a stick and challenged his brother to find the measure of angles in the figure below. 

What is the measure of angle $\angle ROQ$?