Is it possible to construct 37.5 degree with the help of a ruler and a compass it is not possible to construct an angle? If yes then what are the steps of construction?

Construct a triangle ABC whose sides are 7.5 cm, 7 cm and 6.5 cm. Construct another triangle similar to triangle ABC and with sides 2/3 of the corresponding sides of triangle ABC?

Construct a triangle similar to a given triangle with sides 5 cm, 12 cm, and 13 cm and whose sides are 3/5 of the corresponding sides of the given triangle?

Draw a triangle ABC in which AB = 5 cm, BC = 4.6 cm and AC = 5.8 cm. Construct a triangle similar to triangle ABC such that each of its sides is 2/3 of the corresponding sides of triangle ABC?

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation?

Ritu 29/10/2016 in Class IX-X Tuition, Mathematics(Class IX-X Tuition), Constructions

Is it possible to construct 37.5 degree with the help of a ruler and a compass it is not possible to construct an angle? If yes then what are the steps of construction?