alleryAny constructible angle theta has an angle of 3 theta that is what?
AAlways a right angle
BNever trisectable
CTrivially trisectable
DAlways an obtuse angle
Answer & Solution
Correct answer: C. Trivially trisectable
1. The trisection of 3 theta is just theta.
2. If theta is constructible, you can build it directly and ignore the given angle.
3. So 3 theta can be trisected trivially.
_Source: Wikipedia, Angle trisection, section Angles which can be trisected_
Keep practising Straightedge and Compass Construction
Browse all Straightedge and Compass Construction questions for CTET, or explore more Mathematics topics.
Related questions
Wantzel proved Gauss's condition is necessary for what?A triangle's twelve key lengths include its sides, altitudes, medians and what else?Which operation is a common construction that copies a point across a line?Which of these is a ruler-and-compass construction involving a circle?A median splits the opposite side of a triangle into two parts that are what?The angle bisector theorem compares a side's parts with what?The exterior bisector of an angle divides which angle in half?Which lines form the boundaries of Voronoi cells?