Using only the two set-squares of the geometry box, an angle of 40° can be drawn.
Why this is false (step by step):
1) In a standard geometry box there are two set-squares:
2) Using only these two set-squares (no protractor/compass), we can make angles that are sums or differences of 30° and 45°, and right angles.
(45^circ)
(30^circ,;60^circ)
(90^circ)
(45^circ + 30^circ = 75^circ)
(60^circ - 45^circ = 15^circ)
3) So the acute angles we can get are in steps of 15°:
(0^circ,;15^circ,;30^circ,;45^circ,;60^circ,;75^circ,;90^circ,dots)
4) Now check 40°:
(40^circ) is not a multiple of (15^circ).
(40 div 15) is not an integer.
Conclusion: With only the two set-squares, you cannot draw exactly 40°. Therefore, the statement is false.