Straightedge and Compass Questions

[b][i]Starting from the segment of length 1 given below, construct a segment whose length is an irrational number. Show all construction marks, label your final answer, and state its length.[/i][/b]
[b][i]Starting from the segment of length 1 given below, construct a 150 degree angle. [/i][/b][b][i]Show all construction marks and label your final answer.[/i][/b]
[b][i]Starting from the segment of length 1 given below, list at least 2 side lengths you think can't be constructed using straightedge and compass only. Explain your thinking.[/i][/b]
[b][i]Starting from the segment of length 1 given below, list at least 2 angle measures you think can't be constructed using straightedge and compass only. Explain your thinking.[/i][/b]

Information: Straightedge and Compass Questions