Write True or False and give reasons for your answer.
An angle of $42.5^{\circ}$ can be constructed.

Construct a right triangle whose base is $6\,cm$ and the sum of its hypotenuse and the other side is $12\,cm$. Write the steps of construction.

Construct a triangle $PQR$,in which $QR = 9\, cm$,$\angle Q = 60^{\circ}$ and $PR - PQ = 3\, cm$.

Construct $\Delta ABC$ in which $BC = 7 \, cm$,$\angle B = 45^{\circ}$ and $AC - AB = 2 \, cm$. Write the steps of construction.

Write True or False and give reasons for your answer.
An angle of $52.5^{\circ}$ can be constructed.

Construct a triangle $ABC$,in which $BC = 8 \, cm$,$\angle B = 75^{\circ}$ and $AB + AC = 15 \, cm$.