General instructions for drawing an angle with a protractor.

To draw an angle using a protractor:

1. Draw a straight line segment, which will be one arm of your angle. Mark one endpoint as the vertex.
2. Place the center of the protractor exactly on the vertex.
3. Align the baseline (the $0^\circ$ line) of the protractor with the line segment you drew.
4. Find the desired degree measure on the protractor's scale. Make a small mark on your paper at that point.
5. Remove the protractor and draw a second line segment from the vertex to the mark you made. This completes your angle.

a) $105^\circ$
This is an obtuse angle because it is greater than $90^\circ$ but less than $180^\circ$.
To draw it, follow the general steps above, marking $105^\circ$ on the protractor scale.

b) $230^\circ$
This is a reflex angle because it is greater than $180^\circ$.
To draw a reflex angle like $230^\circ$:

1. Draw a ray and mark its endpoint as the vertex.
2. Since a protractor usually measures up to $180^\circ$, you can find the corresponding interior angle: $360^\circ - 230^\circ = 130^\circ$.
3. Draw an angle of $130^\circ$ using the general steps. The larger angle outside this $130^\circ$ angle is the $230^\circ$ reflex angle.

c) $55^\circ$
This is an acute angle because it is less than $90^\circ$.
To draw it, follow the general steps above, marking $55^\circ$ on the protractor scale.

d) $83^\circ$
This is an acute angle because it is less than $90^\circ$.
To draw it, follow the general steps above, marking $83^\circ$ on the protractor scale.