Draw a line segment of $5.6\text{cm}$. Construct its perpendicular bisector and justify your construction. Measure the length of each part.

Construct the angles of following measurements:

$45°$

Construct the following angles and verify them by measuring with protractor.

$105°$

State whether the following statement is true or false. Give reasons for your answer.

An angle of $67.5°$ can be constructed.

State whether the following statement is true or false. Give reasons for your answer.

An angle of $42.5°$ can be constructed.

Construct a right triangle with perimeter $11\text{cm}$ and one base angle as $30°.$

[Hint: The other base angle is $(180°-(90°+30°)=60°).$]