Question

It is possible to construct an angle of 75${}^{\circ }$ using a 45-45-90 set square.

• A. True
• B. False

Answer 1

The correct option is B

False

It is not possible to construct an angle of 75${}^{\circ }$ using a 45-45-90 set square, no matter how many times the set square is used.

The only angles that can be constructed from a 45-45-90 set square are 45${}^{\circ }$, 90${}^{\circ }$, 90+45 = 135${}^{\circ }$,...and so on.
i.e., The only angles that can be constructed from a 45-45-90 set square are those angles which are multiples of 45${}^{\circ }$.