How do you construct a line parallel to a given line from a point outside of it.

In the adjacent figure $\angle 1=\angle 2$ and $\angle 3=\angle 2$.Also $\mathrm{RP}$ bisects $\angle \mathrm{CRQ}$.Prove that $\mathrm{AB}\parallel \mathrm{CD}$

A triangle can be constructed by taking its sides as

$1.8 \mathrm{cm}, 2.6\mathrm{cm}, 4.4\mathrm{cm}$

Can a triangle be constructed with the following measurements of sides

$2 \mathrm{cm}, 3\mathrm{cm}$ and $4 \mathrm{cm}$

Can a triangle be constructed with the following measurements of sides

$2.4 \mathrm{cm}, 2.4 \mathrm{cm}$ and $6.4 \mathrm{cm}$

Can a triangle be constructed with the following measurements of sides.

$3.2 \mathrm{cm}, 2.3 \mathrm{cm}$ and $5.5 \mathrm{cm}$