Constructions T...

You are asked to "construct" an angle whose measure is $$30^\circ$$. Which of the following methods would be considered as an acceptable construction? 

Which diagram below shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

Which of the following angles is possible to construct using a compass?

With the help of a ruler and a compass it is not possible to construct an angle of.

For constructing a triangle whose perimeter and both base angles are given, the base length is equal to:

The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below:
1. Place compass on intersection point.
2. Place ruler on start point and where arc intersects perpendicular line.
3. Adjust compass width to reach start point. 
4. Construct a perpendicular line.
5. Draw $$45$$ degree line.
6. Draw an arc that intersects perpendicular line. 
The third step in process is: 

The last step in the process is:

Each angle of equilateral triangle is $$ 60^\circ$$. The angles are bisected then each angle will be of:

An architect needs a staircase attached to a wall.The angle between stair and ground needs to be 30.
His plan will look like:

The steps for constructing an $$\angle ABC$$ of measure $$120^\circ$$ are given below in jumbled order:
1. From the point $$R$$, mark a point $$P$$ on the same arc with the same radius.
2. Place the pointed end of the compass on $$B$$ and draw a semi-circular arc with arbitrary radius and name its intersection with ray $$BC$$ as $$Q$$.
3. Draw a ray $$BC$$.
4. From point $$Q$$, mark a point $$R$$ on the arc with the same radius.
5. Join $$B-P$$ and extend it to obtain ray $$BA$$